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Finding the Fourth Proportional to 212.72, 319.25 and 97.25

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Solution

The fourth proportional to 212.72, 319.25 and 97.25 is: 145.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.72 : 319.25 = 97.25 : x
  2. Step 2: Convert to fraction form
    212.72/319.25 = 97.25/x
  3. Step 3: Cross multiply
    212.72x = 319.25 × 97.25
  4. Step 4: Simplify right side
    212.72x = 31,045.71
  5. Step 5: Solve for x
    x = 31,045.71/212.72
  6. Step 6: Final answer
    x = 145.95

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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.