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Finding the Fourth Proportional to 324.80, 487.76 and 178.48

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Solution

The fourth proportional to 324.80, 487.76 and 178.48 is: 268.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.80 : 487.76 = 178.48 : x
  2. Step 2: Convert to fraction form
    324.80/487.76 = 178.48/x
  3. Step 3: Cross multiply
    324.80x = 487.76 × 178.48
  4. Step 4: Simplify right side
    324.80x = 87,055.40
  5. Step 5: Solve for x
    x = 87,055.40/324.80
  6. Step 6: Final answer
    x = 268.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.