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Finding the Fourth Proportional to 424.72, 636.88 and 164.84

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Solution

The fourth proportional to 424.72, 636.88 and 164.84 is: 247.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.72 : 636.88 = 164.84 : x
  2. Step 2: Convert to fraction form
    424.72/636.88 = 164.84/x
  3. Step 3: Cross multiply
    424.72x = 636.88 × 164.84
  4. Step 4: Simplify right side
    424.72x = 104,979.29
  5. Step 5: Solve for x
    x = 104,979.29/424.72
  6. Step 6: Final answer
    x = 247.18

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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.