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Finding the Fourth Proportional to 605.21, 907.23 and 194.07

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Solution

The fourth proportional to 605.21, 907.23 and 194.07 is: 290.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.21 : 907.23 = 194.07 : x
  2. Step 2: Convert to fraction form
    605.21/907.23 = 194.07/x
  3. Step 3: Cross multiply
    605.21x = 907.23 × 194.07
  4. Step 4: Simplify right side
    605.21x = 176,065.04
  5. Step 5: Solve for x
    x = 176,065.04/605.21
  6. Step 6: Final answer
    x = 290.91

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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.