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Finding the Fourth Proportional to 176.71, 243.82 and 111.17

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Solution

The fourth proportional to 176.71, 243.82 and 111.17 is: 153.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.71 : 243.82 = 111.17 : x
  2. Step 2: Convert to fraction form
    176.71/243.82 = 111.17/x
  3. Step 3: Cross multiply
    176.71x = 243.82 × 111.17
  4. Step 4: Simplify right side
    176.71x = 27,105.80
  5. Step 5: Solve for x
    x = 27,105.80/176.71
  6. Step 6: Final answer
    x = 153.39

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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.