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Finding the Fourth Proportional to 342.86, 473.15 and 202.97

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Solution

The fourth proportional to 342.86, 473.15 and 202.97 is: 280.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.86 : 473.15 = 202.97 : x
  2. Step 2: Convert to fraction form
    342.86/473.15 = 202.97/x
  3. Step 3: Cross multiply
    342.86x = 473.15 × 202.97
  4. Step 4: Simplify right side
    342.86x = 96,034.47
  5. Step 5: Solve for x
    x = 96,034.47/342.86
  6. Step 6: Final answer
    x = 280.10

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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.