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Finding the Fourth Proportional to 279.66, 386.30 and 214.96

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Solution

The fourth proportional to 279.66, 386.30 and 214.96 is: 296.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.66 : 386.30 = 214.96 : x
  2. Step 2: Convert to fraction form
    279.66/386.30 = 214.96/x
  3. Step 3: Cross multiply
    279.66x = 386.30 × 214.96
  4. Step 4: Simplify right side
    279.66x = 83,039.05
  5. Step 5: Solve for x
    x = 83,039.05/279.66
  6. Step 6: Final answer
    x = 296.93

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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.