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Finding the Fourth Proportional to 560.71, 840.96 and 149.85

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Solution

The fourth proportional to 560.71, 840.96 and 149.85 is: 224.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.71 : 840.96 = 149.85 : x
  2. Step 2: Convert to fraction form
    560.71/840.96 = 149.85/x
  3. Step 3: Cross multiply
    560.71x = 840.96 × 149.85
  4. Step 4: Simplify right side
    560.71x = 126,013.65
  5. Step 5: Solve for x
    x = 126,013.65/560.71
  6. Step 6: Final answer
    x = 224.74

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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.