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Finding the Fourth Proportional to 424.24, 636.24 and 164.20

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Solution

The fourth proportional to 424.24, 636.24 and 164.20 is: 246.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.24 : 636.24 = 164.20 : x
  2. Step 2: Convert to fraction form
    424.24/636.24 = 164.20/x
  3. Step 3: Cross multiply
    424.24x = 636.24 × 164.20
  4. Step 4: Simplify right side
    424.24x = 104,470.61
  5. Step 5: Solve for x
    x = 104,470.61/424.24
  6. Step 6: Final answer
    x = 246.25

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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.