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Finding the Fourth Proportional to 176.87, 265.31 and 116.39

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Solution

The fourth proportional to 176.87, 265.31 and 116.39 is: 174.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.87 : 265.31 = 116.39 : x
  2. Step 2: Convert to fraction form
    176.87/265.31 = 116.39/x
  3. Step 3: Cross multiply
    176.87x = 265.31 × 116.39
  4. Step 4: Simplify right side
    176.87x = 30,877.52
  5. Step 5: Solve for x
    x = 30,877.52/176.87
  6. Step 6: Final answer
    x = 174.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.