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Finding the Fourth Proportional to 425.86, 638.59 and 165.99

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Solution

The fourth proportional to 425.86, 638.59 and 165.99 is: 248.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.86 : 638.59 = 165.99 : x
  2. Step 2: Convert to fraction form
    425.86/638.59 = 165.99/x
  3. Step 3: Cross multiply
    425.86x = 638.59 × 165.99
  4. Step 4: Simplify right side
    425.86x = 105,999.55
  5. Step 5: Solve for x
    x = 105,999.55/425.86
  6. Step 6: Final answer
    x = 248.91

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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.