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Finding the Fourth Proportional to 212.90, 319.34 and 97.30

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Solution

The fourth proportional to 212.90, 319.34 and 97.30 is: 145.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.90 : 319.34 = 97.30 : x
  2. Step 2: Convert to fraction form
    212.90/319.34 = 97.30/x
  3. Step 3: Cross multiply
    212.90x = 319.34 × 97.30
  4. Step 4: Simplify right side
    212.90x = 31,072.42
  5. Step 5: Solve for x
    x = 31,072.42/212.90
  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.