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Finding the Fourth Proportional to 218.32, 325.62 and 216.08

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Solution

The fourth proportional to 218.32, 325.62 and 216.08 is: 322.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.32 : 325.62 = 216.08 : x
  2. Step 2: Convert to fraction form
    218.32/325.62 = 216.08/x
  3. Step 3: Cross multiply
    218.32x = 325.62 × 216.08
  4. Step 4: Simplify right side
    218.32x = 70,359.97
  5. Step 5: Solve for x
    x = 70,359.97/218.32
  6. Step 6: Final answer
    x = 322.28

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Why These Related Problems?

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