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Finding the Fourth Proportional to 508.35, 762.43 and 143.14

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Solution

The fourth proportional to 508.35, 762.43 and 143.14 is: 214.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.35 : 762.43 = 143.14 : x
  2. Step 2: Convert to fraction form
    508.35/762.43 = 143.14/x
  3. Step 3: Cross multiply
    508.35x = 762.43 × 143.14
  4. Step 4: Simplify right side
    508.35x = 109,134.23
  5. Step 5: Solve for x
    x = 109,134.23/508.35
  6. Step 6: Final answer
    x = 214.68

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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.