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Finding the Fourth Proportional to 342.13, 472.20 and 202.33

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Solution

The fourth proportional to 342.13, 472.20 and 202.33 is: 279.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.13 : 472.20 = 202.33 : x
  2. Step 2: Convert to fraction form
    342.13/472.20 = 202.33/x
  3. Step 3: Cross multiply
    342.13x = 472.20 × 202.33
  4. Step 4: Simplify right side
    342.13x = 95,540.23
  5. Step 5: Solve for x
    x = 95,540.23/342.13
  6. Step 6: Final answer
    x = 279.25

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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.