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Finding the Fourth Proportional to 216.76, 324.88 and 94.77

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Solution

The fourth proportional to 216.76, 324.88 and 94.77 is: 142.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.76 : 324.88 = 94.77 : x
  2. Step 2: Convert to fraction form
    216.76/324.88 = 94.77/x
  3. Step 3: Cross multiply
    216.76x = 324.88 × 94.77
  4. Step 4: Simplify right side
    216.76x = 30,788.64
  5. Step 5: Solve for x
    x = 30,788.64/216.76
  6. Step 6: Final answer
    x = 142.04

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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.