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Finding the Fourth Proportional to 232.31, 320.54 and 134.03

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Solution

The fourth proportional to 232.31, 320.54 and 134.03 is: 184.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.31 : 320.54 = 134.03 : x
  2. Step 2: Convert to fraction form
    232.31/320.54 = 134.03/x
  3. Step 3: Cross multiply
    232.31x = 320.54 × 134.03
  4. Step 4: Simplify right side
    232.31x = 42,962.11
  5. Step 5: Solve for x
    x = 42,962.11/232.31
  6. Step 6: Final answer
    x = 184.93

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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.