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Finding the Fourth Proportional to 438.62, 658.22 and 164.93

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Solution

The fourth proportional to 438.62, 658.22 and 164.93 is: 247.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.62 : 658.22 = 164.93 : x
  2. Step 2: Convert to fraction form
    438.62/658.22 = 164.93/x
  3. Step 3: Cross multiply
    438.62x = 658.22 × 164.93
  4. Step 4: Simplify right side
    438.62x = 108,556.11
  5. Step 5: Solve for x
    x = 108,556.11/438.62
  6. Step 6: Final answer
    x = 247.50

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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.