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Finding the Fourth Proportional to 242.12, 333.82 and 202.92

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Solution

The fourth proportional to 242.12, 333.82 and 202.92 is: 279.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.12 : 333.82 = 202.92 : x
  2. Step 2: Convert to fraction form
    242.12/333.82 = 202.92/x
  3. Step 3: Cross multiply
    242.12x = 333.82 × 202.92
  4. Step 4: Simplify right side
    242.12x = 67,738.75
  5. Step 5: Solve for x
    x = 67,738.75/242.12
  6. Step 6: Final answer
    x = 279.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.