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Finding the Fourth Proportional to 258.08, 385.20 and 232.16

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Solution

The fourth proportional to 258.08, 385.20 and 232.16 is: 346.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.08 : 385.20 = 232.16 : x
  2. Step 2: Convert to fraction form
    258.08/385.20 = 232.16/x
  3. Step 3: Cross multiply
    258.08x = 385.20 × 232.16
  4. Step 4: Simplify right side
    258.08x = 89,428.03
  5. Step 5: Solve for x
    x = 89,428.03/258.08
  6. Step 6: Final answer
    x = 346.51

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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.