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Finding the Fourth Proportional to 151.84, 209.17 and 110.27

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Solution

The fourth proportional to 151.84, 209.17 and 110.27 is: 151.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.84 : 209.17 = 110.27 : x
  2. Step 2: Convert to fraction form
    151.84/209.17 = 110.27/x
  3. Step 3: Cross multiply
    151.84x = 209.17 × 110.27
  4. Step 4: Simplify right side
    151.84x = 23,065.18
  5. Step 5: Solve for x
    x = 23,065.18/151.84
  6. Step 6: Final answer
    x = 151.90

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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.