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Finding the Fourth Proportional to 425.98, 639.01 and 137.46

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Solution

The fourth proportional to 425.98, 639.01 and 137.46 is: 206.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.98 : 639.01 = 137.46 : x
  2. Step 2: Convert to fraction form
    425.98/639.01 = 137.46/x
  3. Step 3: Cross multiply
    425.98x = 639.01 × 137.46
  4. Step 4: Simplify right side
    425.98x = 87,838.31
  5. Step 5: Solve for x
    x = 87,838.31/425.98
  6. Step 6: Final answer
    x = 206.20

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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.