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Finding the Fourth Proportional to 216.92, 325.35 and 101.24

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Solution

The fourth proportional to 216.92, 325.35 and 101.24 is: 151.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.92 : 325.35 = 101.24 : x
  2. Step 2: Convert to fraction form
    216.92/325.35 = 101.24/x
  3. Step 3: Cross multiply
    216.92x = 325.35 × 101.24
  4. Step 4: Simplify right side
    216.92x = 32,936.81
  5. Step 5: Solve for x
    x = 32,936.81/216.92
  6. Step 6: Final answer
    x = 151.84

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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.