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Finding the Fourth Proportional to 212.44, 318.69 and 96.88

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Solution

The fourth proportional to 212.44, 318.69 and 96.88 is: 145.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.44 : 318.69 = 96.88 : x
  2. Step 2: Convert to fraction form
    212.44/318.69 = 96.88/x
  3. Step 3: Cross multiply
    212.44x = 318.69 × 96.88
  4. Step 4: Simplify right side
    212.44x = 30,875.09
  5. Step 5: Solve for x
    x = 30,875.09/212.44
  6. Step 6: Final answer
    x = 145.34

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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.