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Finding the Fourth Proportional to 212.59, 319.04 and 75.64

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Solution

The fourth proportional to 212.59, 319.04 and 75.64 is: 113.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.59 : 319.04 = 75.64 : x
  2. Step 2: Convert to fraction form
    212.59/319.04 = 75.64/x
  3. Step 3: Cross multiply
    212.59x = 319.04 × 75.64
  4. Step 4: Simplify right side
    212.59x = 24,131.01
  5. Step 5: Solve for x
    x = 24,131.01/212.59
  6. Step 6: Final answer
    x = 113.51

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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.