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Finding the Fourth Proportional to 508.70, 763.13 and 184.14

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Solution

The fourth proportional to 508.70, 763.13 and 184.14 is: 276.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.70 : 763.13 = 184.14 : x
  2. Step 2: Convert to fraction form
    508.70/763.13 = 184.14/x
  3. Step 3: Cross multiply
    508.70x = 763.13 × 184.14
  4. Step 4: Simplify right side
    508.70x = 140,524.45
  5. Step 5: Solve for x
    x = 140,524.45/508.70
  6. Step 6: Final answer
    x = 276.24

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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.