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Finding the Fourth Proportional to 342.06, 472.03 and 202.15

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Solution

The fourth proportional to 342.06, 472.03 and 202.15 is: 278.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.06 : 472.03 = 202.15 : x
  2. Step 2: Convert to fraction form
    342.06/472.03 = 202.15/x
  3. Step 3: Cross multiply
    342.06x = 472.03 × 202.15
  4. Step 4: Simplify right side
    342.06x = 95,417.49
  5. Step 5: Solve for x
    x = 95,417.49/342.06
  6. Step 6: Final answer
    x = 278.95

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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.