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Finding the Fourth Proportional to 212.64, 319.02 and 75.71

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Solution

The fourth proportional to 212.64, 319.02 and 75.71 is: 113.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.64 : 319.02 = 75.71 : x
  2. Step 2: Convert to fraction form
    212.64/319.02 = 75.71/x
  3. Step 3: Cross multiply
    212.64x = 319.02 × 75.71
  4. Step 4: Simplify right side
    212.64x = 24,153.52
  5. Step 5: Solve for x
    x = 24,153.52/212.64
  6. Step 6: Final answer
    x = 113.59

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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.