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Finding the Fourth Proportional to 212.72, 319.29 and 97.23

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Solution

The fourth proportional to 212.72, 319.29 and 97.23 is: 145.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.72 : 319.29 = 97.23 : x
  2. Step 2: Convert to fraction form
    212.72/319.29 = 97.23/x
  3. Step 3: Cross multiply
    212.72x = 319.29 × 97.23
  4. Step 4: Simplify right side
    212.72x = 31,044.08
  5. Step 5: Solve for x
    x = 31,044.08/212.72
  6. Step 6: Final answer
    x = 145.94

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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.