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Finding the Fourth Proportional to 219.68, 329.31 and 75.32

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Solution

The fourth proportional to 219.68, 329.31 and 75.32 is: 112.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.68 : 329.31 = 75.32 : x
  2. Step 2: Convert to fraction form
    219.68/329.31 = 75.32/x
  3. Step 3: Cross multiply
    219.68x = 329.31 × 75.32
  4. Step 4: Simplify right side
    219.68x = 24,803.63
  5. Step 5: Solve for x
    x = 24,803.63/219.68
  6. Step 6: Final answer
    x = 112.91

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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.