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Finding the Fourth Proportional to 507.98, 762.02 and 142.78

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Solution

The fourth proportional to 507.98, 762.02 and 142.78 is: 214.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.98 : 762.02 = 142.78 : x
  2. Step 2: Convert to fraction form
    507.98/762.02 = 142.78/x
  3. Step 3: Cross multiply
    507.98x = 762.02 × 142.78
  4. Step 4: Simplify right side
    507.98x = 108,797.70
  5. Step 5: Solve for x
    x = 108,797.70/507.98
  6. Step 6: Final answer
    x = 214.18

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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.