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Finding the Fourth Proportional to 151.24, 207.53 and 137.38

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Solution

The fourth proportional to 151.24, 207.53 and 137.38 is: 188.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.24 : 207.53 = 137.38 : x
  2. Step 2: Convert to fraction form
    151.24/207.53 = 137.38/x
  3. Step 3: Cross multiply
    151.24x = 207.53 × 137.38
  4. Step 4: Simplify right side
    151.24x = 28,508.75
  5. Step 5: Solve for x
    x = 28,508.75/151.24
  6. Step 6: Final answer
    x = 188.51

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.