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Finding the Fourth Proportional to 279.65, 417.69 and 218.13

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Solution

The fourth proportional to 279.65, 417.69 and 218.13 is: 325.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.65 : 417.69 = 218.13 : x
  2. Step 2: Convert to fraction form
    279.65/417.69 = 218.13/x
  3. Step 3: Cross multiply
    279.65x = 417.69 × 218.13
  4. Step 4: Simplify right side
    279.65x = 91,109.15
  5. Step 5: Solve for x
    x = 91,109.15/279.65
  6. Step 6: Final answer
    x = 325.79

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Why These Related Problems?

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