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Finding the Fourth Proportional to 216.92, 299.32 and 134.01

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Solution

The fourth proportional to 216.92, 299.32 and 134.01 is: 184.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.92 : 299.32 = 134.01 : x
  2. Step 2: Convert to fraction form
    216.92/299.32 = 134.01/x
  3. Step 3: Cross multiply
    216.92x = 299.32 × 134.01
  4. Step 4: Simplify right side
    216.92x = 40,111.54
  5. Step 5: Solve for x
    x = 40,111.54/216.92
  6. Step 6: Final answer
    x = 184.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.