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Finding the Fourth Proportional to 212.97, 319.13 and 110.11

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Solution

The fourth proportional to 212.97, 319.13 and 110.11 is: 165.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.97 : 319.13 = 110.11 : x
  2. Step 2: Convert to fraction form
    212.97/319.13 = 110.11/x
  3. Step 3: Cross multiply
    212.97x = 319.13 × 110.11
  4. Step 4: Simplify right side
    212.97x = 35,139.40
  5. Step 5: Solve for x
    x = 35,139.40/212.97
  6. Step 6: Final answer
    x = 165.00

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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.