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Finding the Fourth Proportional to 508.42, 762.76 and 143.21

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Solution

The fourth proportional to 508.42, 762.76 and 143.21 is: 214.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.42 : 762.76 = 143.21 : x
  2. Step 2: Convert to fraction form
    508.42/762.76 = 143.21/x
  3. Step 3: Cross multiply
    508.42x = 762.76 × 143.21
  4. Step 4: Simplify right side
    508.42x = 109,236.95
  5. Step 5: Solve for x
    x = 109,236.95/508.42
  6. Step 6: Final answer
    x = 214.86

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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.