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Finding the Fourth Proportional to 322.98, 484.32 and 130.56

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Solution

The fourth proportional to 322.98, 484.32 and 130.56 is: 195.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.98 : 484.32 = 130.56 : x
  2. Step 2: Convert to fraction form
    322.98/484.32 = 130.56/x
  3. Step 3: Cross multiply
    322.98x = 484.32 × 130.56
  4. Step 4: Simplify right side
    322.98x = 63,232.82
  5. Step 5: Solve for x
    x = 63,232.82/322.98
  6. Step 6: Final answer
    x = 195.78

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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.