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Finding the Fourth Proportional to 219.34, 329.07 and 75.07

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Solution

The fourth proportional to 219.34, 329.07 and 75.07 is: 112.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.34 : 329.07 = 75.07 : x
  2. Step 2: Convert to fraction form
    219.34/329.07 = 75.07/x
  3. Step 3: Cross multiply
    219.34x = 329.07 × 75.07
  4. Step 4: Simplify right side
    219.34x = 24,703.28
  5. Step 5: Solve for x
    x = 24,703.28/219.34
  6. Step 6: Final answer
    x = 112.63

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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.