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Finding the Fourth Proportional to 425.26, 637.67 and 165.22

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Solution

The fourth proportional to 425.26, 637.67 and 165.22 is: 247.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.26 : 637.67 = 165.22 : x
  2. Step 2: Convert to fraction form
    425.26/637.67 = 165.22/x
  3. Step 3: Cross multiply
    425.26x = 637.67 × 165.22
  4. Step 4: Simplify right side
    425.26x = 105,355.84
  5. Step 5: Solve for x
    x = 105,355.84/425.26
  6. Step 6: Final answer
    x = 247.74

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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.