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Finding the Fourth Proportional to 258.68, 385.85 and 234.08

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Solution

The fourth proportional to 258.68, 385.85 and 234.08 is: 349.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.68 : 385.85 = 234.08 : x
  2. Step 2: Convert to fraction form
    258.68/385.85 = 234.08/x
  3. Step 3: Cross multiply
    258.68x = 385.85 × 234.08
  4. Step 4: Simplify right side
    258.68x = 90,319.77
  5. Step 5: Solve for x
    x = 90,319.77/258.68
  6. Step 6: Final answer
    x = 349.16

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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.