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Finding the Fourth Proportional to 605.35, 907.97 and 188.87

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Solution

The fourth proportional to 605.35, 907.97 and 188.87 is: 283.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.35 : 907.97 = 188.87 : x
  2. Step 2: Convert to fraction form
    605.35/907.97 = 188.87/x
  3. Step 3: Cross multiply
    605.35x = 907.97 × 188.87
  4. Step 4: Simplify right side
    605.35x = 171,484.23
  5. Step 5: Solve for x
    x = 171,484.23/605.35
  6. Step 6: Final answer
    x = 283.28

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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.