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Finding the Fourth Proportional to 150.61, 224.72 and 140.14

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Solution

The fourth proportional to 150.61, 224.72 and 140.14 is: 209.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.61 : 224.72 = 140.14 : x
  2. Step 2: Convert to fraction form
    150.61/224.72 = 140.14/x
  3. Step 3: Cross multiply
    150.61x = 224.72 × 140.14
  4. Step 4: Simplify right side
    150.61x = 31,492.26
  5. Step 5: Solve for x
    x = 31,492.26/150.61
  6. Step 6: Final answer
    x = 209.10

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.