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Finding the Fourth Proportional to 330.72, 496.08 and 114.28

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Solution

The fourth proportional to 330.72, 496.08 and 114.28 is: 171.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.72 : 496.08 = 114.28 : x
  2. Step 2: Convert to fraction form
    330.72/496.08 = 114.28/x
  3. Step 3: Cross multiply
    330.72x = 496.08 × 114.28
  4. Step 4: Simplify right side
    330.72x = 56,692.02
  5. Step 5: Solve for x
    x = 56,692.02/330.72
  6. Step 6: Final answer
    x = 171.42

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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.