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Finding the Fourth Proportional to 324.27, 486.48 and 178.16

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Solution

The fourth proportional to 324.27, 486.48 and 178.16 is: 267.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.27 : 486.48 = 178.16 : x
  2. Step 2: Convert to fraction form
    324.27/486.48 = 178.16/x
  3. Step 3: Cross multiply
    324.27x = 486.48 × 178.16
  4. Step 4: Simplify right side
    324.27x = 86,671.28
  5. Step 5: Solve for x
    x = 86,671.28/324.27
  6. Step 6: Final answer
    x = 267.28

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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.