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Finding the Fourth Proportional to 342.75, 473.12 and 204.75

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Solution

The fourth proportional to 342.75, 473.12 and 204.75 is: 282.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.75 : 473.12 = 204.75 : x
  2. Step 2: Convert to fraction form
    342.75/473.12 = 204.75/x
  3. Step 3: Cross multiply
    342.75x = 473.12 × 204.75
  4. Step 4: Simplify right side
    342.75x = 96,870.30
  5. Step 5: Solve for x
    x = 96,870.30/342.75
  6. Step 6: Final answer
    x = 282.63

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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.