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Finding the Fourth Proportional to 330.42, 495.48 and 147.82

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Solution

The fourth proportional to 330.42, 495.48 and 147.82 is: 221.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.42 : 495.48 = 147.82 : x
  2. Step 2: Convert to fraction form
    330.42/495.48 = 147.82/x
  3. Step 3: Cross multiply
    330.42x = 495.48 × 147.82
  4. Step 4: Simplify right side
    330.42x = 73,239.01
  5. Step 5: Solve for x
    x = 73,239.01/330.42
  6. Step 6: Final answer
    x = 221.65

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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.