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Finding the Fourth Proportional to 424.46, 636.35 and 164.42

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Solution

The fourth proportional to 424.46, 636.35 and 164.42 is: 246.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.46 : 636.35 = 164.42 : x
  2. Step 2: Convert to fraction form
    424.46/636.35 = 164.42/x
  3. Step 3: Cross multiply
    424.46x = 636.35 × 164.42
  4. Step 4: Simplify right side
    424.46x = 104,624.66
  5. Step 5: Solve for x
    x = 104,624.66/424.46
  6. Step 6: Final answer
    x = 246.49

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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.