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Finding the Fourth Proportional to 217.02, 324.83 and 114.16

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Solution

The fourth proportional to 217.02, 324.83 and 114.16 is: 170.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.02 : 324.83 = 114.16 : x
  2. Step 2: Convert to fraction form
    217.02/324.83 = 114.16/x
  3. Step 3: Cross multiply
    217.02x = 324.83 × 114.16
  4. Step 4: Simplify right side
    217.02x = 37,080.40
  5. Step 5: Solve for x
    x = 37,080.40/217.02
  6. Step 6: Final answer
    x = 170.86

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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.