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Finding the Fourth Proportional to 182.16, 251.38 and 142.86

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Solution

The fourth proportional to 182.16, 251.38 and 142.86 is: 197.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.16 : 251.38 = 142.86 : x
  2. Step 2: Convert to fraction form
    182.16/251.38 = 142.86/x
  3. Step 3: Cross multiply
    182.16x = 251.38 × 142.86
  4. Step 4: Simplify right side
    182.16x = 35,911.79
  5. Step 5: Solve for x
    x = 35,911.79/182.16
  6. Step 6: Final answer
    x = 197.15

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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.