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Finding the Fourth Proportional to 220.32, 328.59 and 216.68

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Solution

The fourth proportional to 220.32, 328.59 and 216.68 is: 323.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.32 : 328.59 = 216.68 : x
  2. Step 2: Convert to fraction form
    220.32/328.59 = 216.68/x
  3. Step 3: Cross multiply
    220.32x = 328.59 × 216.68
  4. Step 4: Simplify right side
    220.32x = 71,197.24
  5. Step 5: Solve for x
    x = 71,197.24/220.32
  6. Step 6: Final answer
    x = 323.15

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.