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Finding the Fourth Proportional to 212.64, 319.11 and 97.08

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Solution

The fourth proportional to 212.64, 319.11 and 97.08 is: 145.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.64 : 319.11 = 97.08 : x
  2. Step 2: Convert to fraction form
    212.64/319.11 = 97.08/x
  3. Step 3: Cross multiply
    212.64x = 319.11 × 97.08
  4. Step 4: Simplify right side
    212.64x = 30,979.20
  5. Step 5: Solve for x
    x = 30,979.20/212.64
  6. Step 6: Final answer
    x = 145.69

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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.