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Finding the Fourth Proportional to 321.96, 483.48 and 177.80

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Solution

The fourth proportional to 321.96, 483.48 and 177.80 is: 267.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.96 : 483.48 = 177.80 : x
  2. Step 2: Convert to fraction form
    321.96/483.48 = 177.80/x
  3. Step 3: Cross multiply
    321.96x = 483.48 × 177.80
  4. Step 4: Simplify right side
    321.96x = 85,962.74
  5. Step 5: Solve for x
    x = 85,962.74/321.96
  6. Step 6: Final answer
    x = 267.00

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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.