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Finding the Fourth Proportional to 509.12, 763.72 and 143.88

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Solution

The fourth proportional to 509.12, 763.72 and 143.88 is: 215.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.12 : 763.72 = 143.88 : x
  2. Step 2: Convert to fraction form
    509.12/763.72 = 143.88/x
  3. Step 3: Cross multiply
    509.12x = 763.72 × 143.88
  4. Step 4: Simplify right side
    509.12x = 109,883.67
  5. Step 5: Solve for x
    x = 109,883.67/509.12
  6. Step 6: Final answer
    x = 215.83

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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.