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Finding the Fourth Proportional to 321.57, 482.22 and 177.39

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Solution

The fourth proportional to 321.57, 482.22 and 177.39 is: 266.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.57 : 482.22 = 177.39 : x
  2. Step 2: Convert to fraction form
    321.57/482.22 = 177.39/x
  3. Step 3: Cross multiply
    321.57x = 482.22 × 177.39
  4. Step 4: Simplify right side
    321.57x = 85,541.01
  5. Step 5: Solve for x
    x = 85,541.01/321.57
  6. Step 6: Final answer
    x = 266.01

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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.