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Finding the Fourth Proportional to 218.97, 328.52 and 64.91

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Solution

The fourth proportional to 218.97, 328.52 and 64.91 is: 97.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.97 : 328.52 = 64.91 : x
  2. Step 2: Convert to fraction form
    218.97/328.52 = 64.91/x
  3. Step 3: Cross multiply
    218.97x = 328.52 × 64.91
  4. Step 4: Simplify right side
    218.97x = 21,324.23
  5. Step 5: Solve for x
    x = 21,324.23/218.97
  6. Step 6: Final answer
    x = 97.38

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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.