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Finding the Fourth Proportional to 150.68, 207.89 and 115.74

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Solution

The fourth proportional to 150.68, 207.89 and 115.74 is: 159.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.68 : 207.89 = 115.74 : x
  2. Step 2: Convert to fraction form
    150.68/207.89 = 115.74/x
  3. Step 3: Cross multiply
    150.68x = 207.89 × 115.74
  4. Step 4: Simplify right side
    150.68x = 24,061.19
  5. Step 5: Solve for x
    x = 24,061.19/150.68
  6. Step 6: Final answer
    x = 159.68

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Why These Related Problems?

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