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Finding the Fourth Proportional to 290.60, 400.71 and 206.66

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Solution

The fourth proportional to 290.60, 400.71 and 206.66 is: 284.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.60 : 400.71 = 206.66 : x
  2. Step 2: Convert to fraction form
    290.60/400.71 = 206.66/x
  3. Step 3: Cross multiply
    290.60x = 400.71 × 206.66
  4. Step 4: Simplify right side
    290.60x = 82,808.73
  5. Step 5: Solve for x
    x = 82,808.73/290.60
  6. Step 6: Final answer
    x = 284.96

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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.