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Finding the Fourth Proportional to 216.55, 324.75 and 70.27

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Solution

The fourth proportional to 216.55, 324.75 and 70.27 is: 105.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.55 : 324.75 = 70.27 : x
  2. Step 2: Convert to fraction form
    216.55/324.75 = 70.27/x
  3. Step 3: Cross multiply
    216.55x = 324.75 × 70.27
  4. Step 4: Simplify right side
    216.55x = 22,820.18
  5. Step 5: Solve for x
    x = 22,820.18/216.55
  6. Step 6: Final answer
    x = 105.38

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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.