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Finding the Fourth Proportional to 219.48, 327.51 and 216.12

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Solution

The fourth proportional to 219.48, 327.51 and 216.12 is: 322.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.48 : 327.51 = 216.12 : x
  2. Step 2: Convert to fraction form
    219.48/327.51 = 216.12/x
  3. Step 3: Cross multiply
    219.48x = 327.51 × 216.12
  4. Step 4: Simplify right side
    219.48x = 70,781.46
  5. Step 5: Solve for x
    x = 70,781.46/219.48
  6. Step 6: Final answer
    x = 322.50

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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.