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Finding the Fourth Proportional to 438.94, 658.53 and 178.78

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Solution

The fourth proportional to 438.94, 658.53 and 178.78 is: 268.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.94 : 658.53 = 178.78 : x
  2. Step 2: Convert to fraction form
    438.94/658.53 = 178.78/x
  3. Step 3: Cross multiply
    438.94x = 658.53 × 178.78
  4. Step 4: Simplify right side
    438.94x = 117,731.99
  5. Step 5: Solve for x
    x = 117,731.99/438.94
  6. Step 6: Final answer
    x = 268.22

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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.