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Finding the Fourth Proportional to 322.17, 483 and 159.74

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Solution

The fourth proportional to 322.17, 483 and 159.74 is: 239.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.17 : 483 = 159.74 : x
  2. Step 2: Convert to fraction form
    322.17/483 = 159.74/x
  3. Step 3: Cross multiply
    322.17x = 483 × 159.74
  4. Step 4: Simplify right side
    322.17x = 77,152.01
  5. Step 5: Solve for x
    x = 77,152.01/322.17
  6. Step 6: Final answer
    x = 239.48

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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.