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Finding the Fourth Proportional to 426.87, 640.38 and 152.90

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Solution

The fourth proportional to 426.87, 640.38 and 152.90 is: 229.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.87 : 640.38 = 152.90 : x
  2. Step 2: Convert to fraction form
    426.87/640.38 = 152.90/x
  3. Step 3: Cross multiply
    426.87x = 640.38 × 152.90
  4. Step 4: Simplify right side
    426.87x = 97,910.90
  5. Step 5: Solve for x
    x = 97,910.90/426.87
  6. Step 6: Final answer
    x = 229.37

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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.