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Finding the Fourth Proportional to 342.72, 472.88 and 202.76

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Solution

The fourth proportional to 342.72, 472.88 and 202.76 is: 279.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.72 : 472.88 = 202.76 : x
  2. Step 2: Convert to fraction form
    342.72/472.88 = 202.76/x
  3. Step 3: Cross multiply
    342.72x = 472.88 × 202.76
  4. Step 4: Simplify right side
    342.72x = 95,877.77
  5. Step 5: Solve for x
    x = 95,877.77/342.72
  6. Step 6: Final answer
    x = 279.76

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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.