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Finding the Fourth Proportional to 232.40, 348.64 and 86.16

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Solution

The fourth proportional to 232.40, 348.64 and 86.16 is: 129.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.40 : 348.64 = 86.16 : x
  2. Step 2: Convert to fraction form
    232.40/348.64 = 86.16/x
  3. Step 3: Cross multiply
    232.40x = 348.64 × 86.16
  4. Step 4: Simplify right side
    232.40x = 30,038.82
  5. Step 5: Solve for x
    x = 30,038.82/232.40
  6. Step 6: Final answer
    x = 129.25

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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.