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Finding the Fourth Proportional to 363.50, 545.46 and 192.50

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Solution

The fourth proportional to 363.50, 545.46 and 192.50 is: 288.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.50 : 545.46 = 192.50 : x
  2. Step 2: Convert to fraction form
    363.50/545.46 = 192.50/x
  3. Step 3: Cross multiply
    363.50x = 545.46 × 192.50
  4. Step 4: Simplify right side
    363.50x = 105,001.05
  5. Step 5: Solve for x
    x = 105,001.05/363.50
  6. Step 6: Final answer
    x = 288.86

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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.