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Finding the Fourth Proportional to 212.80, 319.16 and 68.50

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Solution

The fourth proportional to 212.80, 319.16 and 68.50 is: 102.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.80 : 319.16 = 68.50 : x
  2. Step 2: Convert to fraction form
    212.80/319.16 = 68.50/x
  3. Step 3: Cross multiply
    212.80x = 319.16 × 68.50
  4. Step 4: Simplify right side
    212.80x = 21,862.46
  5. Step 5: Solve for x
    x = 21,862.46/212.80
  6. Step 6: Final answer
    x = 102.74

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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.