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Finding the Fourth Proportional to 342.03, 471.96 and 202.13

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Solution

The fourth proportional to 342.03, 471.96 and 202.13 is: 278.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.03 : 471.96 = 202.13 : x
  2. Step 2: Convert to fraction form
    342.03/471.96 = 202.13/x
  3. Step 3: Cross multiply
    342.03x = 471.96 × 202.13
  4. Step 4: Simplify right side
    342.03x = 95,394.92
  5. Step 5: Solve for x
    x = 95,394.92/342.03
  6. Step 6: Final answer
    x = 278.91

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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.