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Finding the Fourth Proportional to 279.14, 417.17 and 206.17

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Solution

The fourth proportional to 279.14, 417.17 and 206.17 is: 308.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.14 : 417.17 = 206.17 : x
  2. Step 2: Convert to fraction form
    279.14/417.17 = 206.17/x
  3. Step 3: Cross multiply
    279.14x = 417.17 × 206.17
  4. Step 4: Simplify right side
    279.14x = 86,008.45
  5. Step 5: Solve for x
    x = 86,008.45/279.14
  6. Step 6: Final answer
    x = 308.12

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.