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Finding the Fourth Proportional to 279.54, 386.12 and 214.84

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Solution

The fourth proportional to 279.54, 386.12 and 214.84 is: 296.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.54 : 386.12 = 214.84 : x
  2. Step 2: Convert to fraction form
    279.54/386.12 = 214.84/x
  3. Step 3: Cross multiply
    279.54x = 386.12 × 214.84
  4. Step 4: Simplify right side
    279.54x = 82,954.02
  5. Step 5: Solve for x
    x = 82,954.02/279.54
  6. Step 6: Final answer
    x = 296.75

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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.