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Finding the Fourth Proportional to 150.16, 207.24 and 84.70

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Solution

The fourth proportional to 150.16, 207.24 and 84.70 is: 116.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.16 : 207.24 = 84.70 : x
  2. Step 2: Convert to fraction form
    150.16/207.24 = 84.70/x
  3. Step 3: Cross multiply
    150.16x = 207.24 × 84.70
  4. Step 4: Simplify right side
    150.16x = 17,553.23
  5. Step 5: Solve for x
    x = 17,553.23/150.16
  6. Step 6: Final answer
    x = 116.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.