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Finding the Fourth Proportional to 212.85, 319.20 and 76.01

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Solution

The fourth proportional to 212.85, 319.20 and 76.01 is: 113.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.85 : 319.20 = 76.01 : x
  2. Step 2: Convert to fraction form
    212.85/319.20 = 76.01/x
  3. Step 3: Cross multiply
    212.85x = 319.20 × 76.01
  4. Step 4: Simplify right side
    212.85x = 24,261.71
  5. Step 5: Solve for x
    x = 24,261.71/212.85
  6. Step 6: Final answer
    x = 113.99

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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.