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Finding the Fourth Proportional to 232.07, 346.68 and 177.39

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Solution

The fourth proportional to 232.07, 346.68 and 177.39 is: 265.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.07 : 346.68 = 177.39 : x
  2. Step 2: Convert to fraction form
    232.07/346.68 = 177.39/x
  3. Step 3: Cross multiply
    232.07x = 346.68 × 177.39
  4. Step 4: Simplify right side
    232.07x = 61,497.57
  5. Step 5: Solve for x
    x = 61,497.57/232.07
  6. Step 6: Final answer
    x = 265.00

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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.