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Finding the Fourth Proportional to 232.55, 348.57 and 116.81

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Solution

The fourth proportional to 232.55, 348.57 and 116.81 is: 175.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.55 : 348.57 = 116.81 : x
  2. Step 2: Convert to fraction form
    232.55/348.57 = 116.81/x
  3. Step 3: Cross multiply
    232.55x = 348.57 × 116.81
  4. Step 4: Simplify right side
    232.55x = 40,716.46
  5. Step 5: Solve for x
    x = 40,716.46/232.55
  6. Step 6: Final answer
    x = 175.09

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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.