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Finding the Fourth Proportional to 324.68, 448.00 and 193.66

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Solution

The fourth proportional to 324.68, 448.00 and 193.66 is: 267.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.68 : 448.00 = 193.66 : x
  2. Step 2: Convert to fraction form
    324.68/448.00 = 193.66/x
  3. Step 3: Cross multiply
    324.68x = 448.00 × 193.66
  4. Step 4: Simplify right side
    324.68x = 86,758.08
  5. Step 5: Solve for x
    x = 86,758.08/324.68
  6. Step 6: Final answer
    x = 267.22

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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.