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Finding the Fourth Proportional to 151.17, 225.89 and 121.91

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Solution

The fourth proportional to 151.17, 225.89 and 121.91 is: 182.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.17 : 225.89 = 121.91 : x
  2. Step 2: Convert to fraction form
    151.17/225.89 = 121.91/x
  3. Step 3: Cross multiply
    151.17x = 225.89 × 121.91
  4. Step 4: Simplify right side
    151.17x = 27,536.97
  5. Step 5: Solve for x
    x = 27,536.97/151.17
  6. Step 6: Final answer
    x = 182.16

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.