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Finding the Fourth Proportional to 330.76, 496.13 and 114.35

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Solution

The fourth proportional to 330.76, 496.13 and 114.35 is: 171.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.76 : 496.13 = 114.35 : x
  2. Step 2: Convert to fraction form
    330.76/496.13 = 114.35/x
  3. Step 3: Cross multiply
    330.76x = 496.13 × 114.35
  4. Step 4: Simplify right side
    330.76x = 56,733.56
  5. Step 5: Solve for x
    x = 56,733.56/330.76
  6. Step 6: Final answer
    x = 171.53

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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.