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Finding the Fourth Proportional to 212.88, 319.22 and 97.25

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Solution

The fourth proportional to 212.88, 319.22 and 97.25 is: 145.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.88 : 319.22 = 97.25 : x
  2. Step 2: Convert to fraction form
    212.88/319.22 = 97.25/x
  3. Step 3: Cross multiply
    212.88x = 319.22 × 97.25
  4. Step 4: Simplify right side
    212.88x = 31,042.06
  5. Step 5: Solve for x
    x = 31,042.06/212.88
  6. Step 6: Final answer
    x = 145.82

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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.