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Finding the Fourth Proportional to 219.76, 329.20 and 102.47

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Solution

The fourth proportional to 219.76, 329.20 and 102.47 is: 153.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.76 : 329.20 = 102.47 : x
  2. Step 2: Convert to fraction form
    219.76/329.20 = 102.47/x
  3. Step 3: Cross multiply
    219.76x = 329.20 × 102.47
  4. Step 4: Simplify right side
    219.76x = 33,733.12
  5. Step 5: Solve for x
    x = 33,733.12/219.76
  6. Step 6: Final answer
    x = 153.50

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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.