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Finding the Fourth Proportional to 243.68, 362.81 and 242.46

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Solution

The fourth proportional to 243.68, 362.81 and 242.46 is: 360.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.68 : 362.81 = 242.46 : x
  2. Step 2: Convert to fraction form
    243.68/362.81 = 242.46/x
  3. Step 3: Cross multiply
    243.68x = 362.81 × 242.46
  4. Step 4: Simplify right side
    243.68x = 87,965.70
  5. Step 5: Solve for x
    x = 87,965.70/243.68
  6. Step 6: Final answer
    x = 360.99

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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.