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Finding the Fourth Proportional to 342.11, 472.11 and 202.25

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Solution

The fourth proportional to 342.11, 472.11 and 202.25 is: 279.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.11 : 472.11 = 202.25 : x
  2. Step 2: Convert to fraction form
    342.11/472.11 = 202.25/x
  3. Step 3: Cross multiply
    342.11x = 472.11 × 202.25
  4. Step 4: Simplify right side
    342.11x = 95,484.25
  5. Step 5: Solve for x
    x = 95,484.25/342.11
  6. Step 6: Final answer
    x = 279.10

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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.