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Finding the Fourth Proportional to 216.61, 325.05 and 154.96

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Solution

The fourth proportional to 216.61, 325.05 and 154.96 is: 232.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.61 : 325.05 = 154.96 : x
  2. Step 2: Convert to fraction form
    216.61/325.05 = 154.96/x
  3. Step 3: Cross multiply
    216.61x = 325.05 × 154.96
  4. Step 4: Simplify right side
    216.61x = 50,369.75
  5. Step 5: Solve for x
    x = 50,369.75/216.61
  6. Step 6: Final answer
    x = 232.54

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Why These Related Problems?

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