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Finding the Fourth Proportional to 330.65, 496.04 and 99.54

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Solution

The fourth proportional to 330.65, 496.04 and 99.54 is: 149.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.65 : 496.04 = 99.54 : x
  2. Step 2: Convert to fraction form
    330.65/496.04 = 99.54/x
  3. Step 3: Cross multiply
    330.65x = 496.04 × 99.54
  4. Step 4: Simplify right side
    330.65x = 49,372.84
  5. Step 5: Solve for x
    x = 49,372.84/330.65
  6. Step 6: Final answer
    x = 149.32

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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.