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Finding the Fourth Proportional to 438.95, 658.31 and 178.88

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Solution

The fourth proportional to 438.95, 658.31 and 178.88 is: 268.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.95 : 658.31 = 178.88 : x
  2. Step 2: Convert to fraction form
    438.95/658.31 = 178.88/x
  3. Step 3: Cross multiply
    438.95x = 658.31 × 178.88
  4. Step 4: Simplify right side
    438.95x = 117,754.31
  5. Step 5: Solve for x
    x = 117,754.31/438.95
  6. Step 6: Final answer
    x = 268.27

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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.