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Finding the Fourth Proportional to 438.94, 658.29 and 164.94

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Solution

The fourth proportional to 438.94, 658.29 and 164.94 is: 247.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.94 : 658.29 = 164.94 : x
  2. Step 2: Convert to fraction form
    438.94/658.29 = 164.94/x
  3. Step 3: Cross multiply
    438.94x = 658.29 × 164.94
  4. Step 4: Simplify right side
    438.94x = 108,578.35
  5. Step 5: Solve for x
    x = 108,578.35/438.94
  6. Step 6: Final answer
    x = 247.36

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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.