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Finding the Fourth Proportional to 321.42, 482.34 and 177.24

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Solution

The fourth proportional to 321.42, 482.34 and 177.24 is: 265.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.42 : 482.34 = 177.24 : x
  2. Step 2: Convert to fraction form
    321.42/482.34 = 177.24/x
  3. Step 3: Cross multiply
    321.42x = 482.34 × 177.24
  4. Step 4: Simplify right side
    321.42x = 85,489.94
  5. Step 5: Solve for x
    x = 85,489.94/321.42
  6. Step 6: Final answer
    x = 265.98

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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.