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Finding the Fourth Proportional to 366.67, 549.07 and 242.90

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Solution

The fourth proportional to 366.67, 549.07 and 242.90 is: 363.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.67 : 549.07 = 242.90 : x
  2. Step 2: Convert to fraction form
    366.67/549.07 = 242.90/x
  3. Step 3: Cross multiply
    366.67x = 549.07 × 242.90
  4. Step 4: Simplify right side
    366.67x = 133,369.10
  5. Step 5: Solve for x
    x = 133,369.10/366.67
  6. Step 6: Final answer
    x = 363.73

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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.