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Finding the Fourth Proportional to 331.06, 496.64 and 114.70

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Solution

The fourth proportional to 331.06, 496.64 and 114.70 is: 172.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.06 : 496.64 = 114.70 : x
  2. Step 2: Convert to fraction form
    331.06/496.64 = 114.70/x
  3. Step 3: Cross multiply
    331.06x = 496.64 × 114.70
  4. Step 4: Simplify right side
    331.06x = 56,964.61
  5. Step 5: Solve for x
    x = 56,964.61/331.06
  6. Step 6: Final answer
    x = 172.07

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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.