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Finding the Fourth Proportional to 508.81, 763.34 and 162.14

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Solution

The fourth proportional to 508.81, 763.34 and 162.14 is: 243.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.81 : 763.34 = 162.14 : x
  2. Step 2: Convert to fraction form
    508.81/763.34 = 162.14/x
  3. Step 3: Cross multiply
    508.81x = 763.34 × 162.14
  4. Step 4: Simplify right side
    508.81x = 123,766.77
  5. Step 5: Solve for x
    x = 123,766.77/508.81
  6. Step 6: Final answer
    x = 243.25

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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.