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Finding the Fourth Proportional to 150.28, 207.39 and 97.88

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Solution

The fourth proportional to 150.28, 207.39 and 97.88 is: 135.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.28 : 207.39 = 97.88 : x
  2. Step 2: Convert to fraction form
    150.28/207.39 = 97.88/x
  3. Step 3: Cross multiply
    150.28x = 207.39 × 97.88
  4. Step 4: Simplify right side
    150.28x = 20,298.66
  5. Step 5: Solve for x
    x = 20,298.66/150.28
  6. Step 6: Final answer
    x = 135.07

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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.