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Finding the Fourth Proportional to 232.42, 320.72 and 127.49

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Solution

The fourth proportional to 232.42, 320.72 and 127.49 is: 175.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.42 : 320.72 = 127.49 : x
  2. Step 2: Convert to fraction form
    232.42/320.72 = 127.49/x
  3. Step 3: Cross multiply
    232.42x = 320.72 × 127.49
  4. Step 4: Simplify right side
    232.42x = 40,889.71
  5. Step 5: Solve for x
    x = 40,889.71/232.42
  6. Step 6: Final answer
    x = 175.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.