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Finding the Fourth Proportional to 324.74, 448.14 and 193.74

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Solution

The fourth proportional to 324.74, 448.14 and 193.74 is: 267.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.74 : 448.14 = 193.74 : x
  2. Step 2: Convert to fraction form
    324.74/448.14 = 193.74/x
  3. Step 3: Cross multiply
    324.74x = 448.14 × 193.74
  4. Step 4: Simplify right side
    324.74x = 86,822.64
  5. Step 5: Solve for x
    x = 86,822.64/324.74
  6. Step 6: Final answer
    x = 267.36

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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.