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Finding the Fourth Proportional to 322.10, 483.32 and 159.78

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Solution

The fourth proportional to 322.10, 483.32 and 159.78 is: 239.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.10 : 483.32 = 159.78 : x
  2. Step 2: Convert to fraction form
    322.10/483.32 = 159.78/x
  3. Step 3: Cross multiply
    322.10x = 483.32 × 159.78
  4. Step 4: Simplify right side
    322.10x = 77,224.07
  5. Step 5: Solve for x
    x = 77,224.07/322.10
  6. Step 6: Final answer
    x = 239.76

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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.