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Finding the Fourth Proportional to 150.23, 207.13 and 115.15

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Solution

The fourth proportional to 150.23, 207.13 and 115.15 is: 158.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.23 : 207.13 = 115.15 : x
  2. Step 2: Convert to fraction form
    150.23/207.13 = 115.15/x
  3. Step 3: Cross multiply
    150.23x = 207.13 × 115.15
  4. Step 4: Simplify right side
    150.23x = 23,851.02
  5. Step 5: Solve for x
    x = 23,851.02/150.23
  6. Step 6: Final answer
    x = 158.76

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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.