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Finding the Fourth Proportional to 216.96, 325.56 and 114.48

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Solution

The fourth proportional to 216.96, 325.56 and 114.48 is: 171.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.96 : 325.56 = 114.48 : x
  2. Step 2: Convert to fraction form
    216.96/325.56 = 114.48/x
  3. Step 3: Cross multiply
    216.96x = 325.56 × 114.48
  4. Step 4: Simplify right side
    216.96x = 37,270.11
  5. Step 5: Solve for x
    x = 37,270.11/216.96
  6. Step 6: Final answer
    x = 171.78

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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.