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Finding the Fourth Proportional to 366.15, 548.57 and 242.83

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Solution

The fourth proportional to 366.15, 548.57 and 242.83 is: 363.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.15 : 548.57 = 242.83 : x
  2. Step 2: Convert to fraction form
    366.15/548.57 = 242.83/x
  3. Step 3: Cross multiply
    366.15x = 548.57 × 242.83
  4. Step 4: Simplify right side
    366.15x = 133,210.55
  5. Step 5: Solve for x
    x = 133,210.55/366.15
  6. Step 6: Final answer
    x = 363.81

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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.