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Finding the Fourth Proportional to 218.96, 328.38 and 64.89

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Solution

The fourth proportional to 218.96, 328.38 and 64.89 is: 97.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.96 : 328.38 = 64.89 : x
  2. Step 2: Convert to fraction form
    218.96/328.38 = 64.89/x
  3. Step 3: Cross multiply
    218.96x = 328.38 × 64.89
  4. Step 4: Simplify right side
    218.96x = 21,308.58
  5. Step 5: Solve for x
    x = 21,308.58/218.96
  6. Step 6: Final answer
    x = 97.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.