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Finding the Fourth Proportional to 245.80, 339.15 and 206.61

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Solution

The fourth proportional to 245.80, 339.15 and 206.61 is: 285.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.80 : 339.15 = 206.61 : x
  2. Step 2: Convert to fraction form
    245.80/339.15 = 206.61/x
  3. Step 3: Cross multiply
    245.80x = 339.15 × 206.61
  4. Step 4: Simplify right side
    245.80x = 70,071.78
  5. Step 5: Solve for x
    x = 70,071.78/245.80
  6. Step 6: Final answer
    x = 285.08

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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.