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Finding the Fourth Proportional to 279.66, 386.19 and 214.59

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Solution

The fourth proportional to 279.66, 386.19 and 214.59 is: 296.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.66 : 386.19 = 214.59 : x
  2. Step 2: Convert to fraction form
    279.66/386.19 = 214.59/x
  3. Step 3: Cross multiply
    279.66x = 386.19 × 214.59
  4. Step 4: Simplify right side
    279.66x = 82,872.51
  5. Step 5: Solve for x
    x = 82,872.51/279.66
  6. Step 6: Final answer
    x = 296.33

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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.