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Finding the Fourth Proportional to 605.34, 907.90 and 166.48

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Solution

The fourth proportional to 605.34, 907.90 and 166.48 is: 249.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.34 : 907.90 = 166.48 : x
  2. Step 2: Convert to fraction form
    605.34/907.90 = 166.48/x
  3. Step 3: Cross multiply
    605.34x = 907.90 × 166.48
  4. Step 4: Simplify right side
    605.34x = 151,148.82
  5. Step 5: Solve for x
    x = 151,148.82/605.34
  6. Step 6: Final answer
    x = 249.69

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.