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Finding the Fourth Proportional to 151.23, 209.07 and 130.71

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Solution

The fourth proportional to 151.23, 209.07 and 130.71 is: 180.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.23 : 209.07 = 130.71 : x
  2. Step 2: Convert to fraction form
    151.23/209.07 = 130.71/x
  3. Step 3: Cross multiply
    151.23x = 209.07 × 130.71
  4. Step 4: Simplify right side
    151.23x = 27,327.54
  5. Step 5: Solve for x
    x = 27,327.54/151.23
  6. Step 6: Final answer
    x = 180.70

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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.