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Finding the Fourth Proportional to 364.46, 545.96 and 242.75

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Solution

The fourth proportional to 364.46, 545.96 and 242.75 is: 363.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.46 : 545.96 = 242.75 : x
  2. Step 2: Convert to fraction form
    364.46/545.96 = 242.75/x
  3. Step 3: Cross multiply
    364.46x = 545.96 × 242.75
  4. Step 4: Simplify right side
    364.46x = 132,527.85
  5. Step 5: Solve for x
    x = 132,527.85/364.46
  6. Step 6: Final answer
    x = 363.63

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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.