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Finding the Fourth Proportional to 508.76, 763.18 and 143.54

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Solution

The fourth proportional to 508.76, 763.18 and 143.54 is: 215.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.76 : 763.18 = 143.54 : x
  2. Step 2: Convert to fraction form
    508.76/763.18 = 143.54/x
  3. Step 3: Cross multiply
    508.76x = 763.18 × 143.54
  4. Step 4: Simplify right side
    508.76x = 109,548.41
  5. Step 5: Solve for x
    x = 109,548.41/508.76
  6. Step 6: Final answer
    x = 215.33

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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.