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Finding the Fourth Proportional to 438.81, 658.48 and 178.83

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Solution

The fourth proportional to 438.81, 658.48 and 178.83 is: 268.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.81 : 658.48 = 178.83 : x
  2. Step 2: Convert to fraction form
    438.81/658.48 = 178.83/x
  3. Step 3: Cross multiply
    438.81x = 658.48 × 178.83
  4. Step 4: Simplify right side
    438.81x = 117,755.98
  5. Step 5: Solve for x
    x = 117,755.98/438.81
  6. Step 6: Final answer
    x = 268.35

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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.