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Finding the Fourth Proportional to 363.80, 543.53 and 225.75

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Solution

The fourth proportional to 363.80, 543.53 and 225.75 is: 337.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.80 : 543.53 = 225.75 : x
  2. Step 2: Convert to fraction form
    363.80/543.53 = 225.75/x
  3. Step 3: Cross multiply
    363.80x = 543.53 × 225.75
  4. Step 4: Simplify right side
    363.80x = 122,700.77
  5. Step 5: Solve for x
    x = 122,700.77/363.80
  6. Step 6: Final answer
    x = 337.28

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.