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Finding the Fourth Proportional to 330.53, 496.02 and 147.83

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Solution

The fourth proportional to 330.53, 496.02 and 147.83 is: 221.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.53 : 496.02 = 147.83 : x
  2. Step 2: Convert to fraction form
    330.53/496.02 = 147.83/x
  3. Step 3: Cross multiply
    330.53x = 496.02 × 147.83
  4. Step 4: Simplify right side
    330.53x = 73,324.16
  5. Step 5: Solve for x
    x = 73,324.16/330.53
  6. Step 6: Final answer
    x = 221.84

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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.