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Finding the Fourth Proportional to 425.52, 638.34 and 165.51

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Solution

The fourth proportional to 425.52, 638.34 and 165.51 is: 248.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.52 : 638.34 = 165.51 : x
  2. Step 2: Convert to fraction form
    425.52/638.34 = 165.51/x
  3. Step 3: Cross multiply
    425.52x = 638.34 × 165.51
  4. Step 4: Simplify right side
    425.52x = 105,651.65
  5. Step 5: Solve for x
    x = 105,651.65/425.52
  6. Step 6: Final answer
    x = 248.29

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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.