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Finding the Fourth Proportional to 150.14, 207.14 and 136.28

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Solution

The fourth proportional to 150.14, 207.14 and 136.28 is: 188.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.14 : 207.14 = 136.28 : x
  2. Step 2: Convert to fraction form
    150.14/207.14 = 136.28/x
  3. Step 3: Cross multiply
    150.14x = 207.14 × 136.28
  4. Step 4: Simplify right side
    150.14x = 28,229.04
  5. Step 5: Solve for x
    x = 28,229.04/150.14
  6. Step 6: Final answer
    x = 188.02

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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.