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Finding the Fourth Proportional to 438.64, 658.05 and 164.74

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Solution

The fourth proportional to 438.64, 658.05 and 164.74 is: 247.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.64 : 658.05 = 164.74 : x
  2. Step 2: Convert to fraction form
    438.64/658.05 = 164.74/x
  3. Step 3: Cross multiply
    438.64x = 658.05 × 164.74
  4. Step 4: Simplify right side
    438.64x = 108,407.16
  5. Step 5: Solve for x
    x = 108,407.16/438.64
  6. Step 6: Final answer
    x = 247.14

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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.