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Finding the Fourth Proportional to 219.47, 329.10 and 65.34

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Solution

The fourth proportional to 219.47, 329.10 and 65.34 is: 97.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.47 : 329.10 = 65.34 : x
  2. Step 2: Convert to fraction form
    219.47/329.10 = 65.34/x
  3. Step 3: Cross multiply
    219.47x = 329.10 × 65.34
  4. Step 4: Simplify right side
    219.47x = 21,503.39
  5. Step 5: Solve for x
    x = 21,503.39/219.47
  6. Step 6: Final answer
    x = 97.98

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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.