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Finding the Fourth Proportional to 560.77, 841.21 and 149.91

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Solution

The fourth proportional to 560.77, 841.21 and 149.91 is: 224.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.77 : 841.21 = 149.91 : x
  2. Step 2: Convert to fraction form
    560.77/841.21 = 149.91/x
  3. Step 3: Cross multiply
    560.77x = 841.21 × 149.91
  4. Step 4: Simplify right side
    560.77x = 126,105.04
  5. Step 5: Solve for x
    x = 126,105.04/560.77
  6. Step 6: Final answer
    x = 224.88

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