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Finding the Fourth Proportional to 342.06, 472.01 and 202.23

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Solution

The fourth proportional to 342.06, 472.01 and 202.23 is: 279.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.06 : 472.01 = 202.23 : x
  2. Step 2: Convert to fraction form
    342.06/472.01 = 202.23/x
  3. Step 3: Cross multiply
    342.06x = 472.01 × 202.23
  4. Step 4: Simplify right side
    342.06x = 95,454.58
  5. Step 5: Solve for x
    x = 95,454.58/342.06
  6. Step 6: Final answer
    x = 279.06

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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.