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Finding the Fourth Proportional to 324.76, 448.17 and 193.84

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Solution

The fourth proportional to 324.76, 448.17 and 193.84 is: 267.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.76 : 448.17 = 193.84 : x
  2. Step 2: Convert to fraction form
    324.76/448.17 = 193.84/x
  3. Step 3: Cross multiply
    324.76x = 448.17 × 193.84
  4. Step 4: Simplify right side
    324.76x = 86,873.27
  5. Step 5: Solve for x
    x = 86,873.27/324.76
  6. Step 6: Final answer
    x = 267.50

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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.