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Finding the Fourth Proportional to 216.14, 322.85 and 154.78

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Solution

The fourth proportional to 216.14, 322.85 and 154.78 is: 231.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.14 : 322.85 = 154.78 : x
  2. Step 2: Convert to fraction form
    216.14/322.85 = 154.78/x
  3. Step 3: Cross multiply
    216.14x = 322.85 × 154.78
  4. Step 4: Simplify right side
    216.14x = 49,970.30
  5. Step 5: Solve for x
    x = 49,970.30/216.14
  6. Step 6: Final answer
    x = 231.20

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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.