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Finding the Fourth Proportional to 363.96, 545.64 and 188.20

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Solution

The fourth proportional to 363.96, 545.64 and 188.20 is: 282.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.96 : 545.64 = 188.20 : x
  2. Step 2: Convert to fraction form
    363.96/545.64 = 188.20/x
  3. Step 3: Cross multiply
    363.96x = 545.64 × 188.20
  4. Step 4: Simplify right side
    363.96x = 102,689.45
  5. Step 5: Solve for x
    x = 102,689.45/363.96
  6. Step 6: Final answer
    x = 282.14

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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.