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Finding the Fourth Proportional to 560.98, 841.38 and 150.12

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Solution

The fourth proportional to 560.98, 841.38 and 150.12 is: 225.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.98 : 841.38 = 150.12 : x
  2. Step 2: Convert to fraction form
    560.98/841.38 = 150.12/x
  3. Step 3: Cross multiply
    560.98x = 841.38 × 150.12
  4. Step 4: Simplify right side
    560.98x = 126,307.97
  5. Step 5: Solve for x
    x = 126,307.97/560.98
  6. Step 6: Final answer
    x = 225.16

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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.