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Finding the Fourth Proportional to 342.56, 472.76 and 204.56

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Solution

The fourth proportional to 342.56, 472.76 and 204.56 is: 282.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.56 : 472.76 = 204.56 : x
  2. Step 2: Convert to fraction form
    342.56/472.76 = 204.56/x
  3. Step 3: Cross multiply
    342.56x = 472.76 × 204.56
  4. Step 4: Simplify right side
    342.56x = 96,707.79
  5. Step 5: Solve for x
    x = 96,707.79/342.56
  6. Step 6: Final answer
    x = 282.31

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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.