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Finding the Fourth Proportional to 345.80, 477.19 and 205.92

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Solution

The fourth proportional to 345.80, 477.19 and 205.92 is: 284.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.80 : 477.19 = 205.92 : x
  2. Step 2: Convert to fraction form
    345.80/477.19 = 205.92/x
  3. Step 3: Cross multiply
    345.80x = 477.19 × 205.92
  4. Step 4: Simplify right side
    345.80x = 98,262.96
  5. Step 5: Solve for x
    x = 98,262.96/345.80
  6. Step 6: Final answer
    x = 284.16

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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.