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Finding the Fourth Proportional to 322.65, 484.07 and 178.34

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Solution

The fourth proportional to 322.65, 484.07 and 178.34 is: 267.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.65 : 484.07 = 178.34 : x
  2. Step 2: Convert to fraction form
    322.65/484.07 = 178.34/x
  3. Step 3: Cross multiply
    322.65x = 484.07 × 178.34
  4. Step 4: Simplify right side
    322.65x = 86,325.73
  5. Step 5: Solve for x
    x = 86,325.73/322.65
  6. Step 6: Final answer
    x = 267.55

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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.