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Finding the Fourth Proportional to 345.80, 477.15 and 205.97

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Solution

The fourth proportional to 345.80, 477.15 and 205.97 is: 284.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.80 : 477.15 = 205.97 : x
  2. Step 2: Convert to fraction form
    345.80/477.15 = 205.97/x
  3. Step 3: Cross multiply
    345.80x = 477.15 × 205.97
  4. Step 4: Simplify right side
    345.80x = 98,276.20
  5. Step 5: Solve for x
    x = 98,276.20/345.80
  6. Step 6: Final answer
    x = 284.20

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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.