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Finding the Fourth Proportional to 342.88, 473.13 and 202.97

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Solution

The fourth proportional to 342.88, 473.13 and 202.97 is: 280.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.88 : 473.13 = 202.97 : x
  2. Step 2: Convert to fraction form
    342.88/473.13 = 202.97/x
  3. Step 3: Cross multiply
    342.88x = 473.13 × 202.97
  4. Step 4: Simplify right side
    342.88x = 96,032.38
  5. Step 5: Solve for x
    x = 96,032.38/342.88
  6. Step 6: Final answer
    x = 280.08

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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.