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Finding the Fourth Proportional to 508.02, 762.38 and 199.84

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Solution

The fourth proportional to 508.02, 762.38 and 199.84 is: 299.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.02 : 762.38 = 199.84 : x
  2. Step 2: Convert to fraction form
    508.02/762.38 = 199.84/x
  3. Step 3: Cross multiply
    508.02x = 762.38 × 199.84
  4. Step 4: Simplify right side
    508.02x = 152,354.02
  5. Step 5: Solve for x
    x = 152,354.02/508.02
  6. Step 6: Final answer
    x = 299.90

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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.