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Finding the Fourth Proportional to 345.97, 477.62 and 206.20

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Solution

The fourth proportional to 345.97, 477.62 and 206.20 is: 284.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.97 : 477.62 = 206.20 : x
  2. Step 2: Convert to fraction form
    345.97/477.62 = 206.20/x
  3. Step 3: Cross multiply
    345.97x = 477.62 × 206.20
  4. Step 4: Simplify right side
    345.97x = 98,485.24
  5. Step 5: Solve for x
    x = 98,485.24/345.97
  6. Step 6: Final answer
    x = 284.66

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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.