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Finding the Fourth Proportional to 196.28, 270.77 and 152.02

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Solution

The fourth proportional to 196.28, 270.77 and 152.02 is: 209.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.28 : 270.77 = 152.02 : x
  2. Step 2: Convert to fraction form
    196.28/270.77 = 152.02/x
  3. Step 3: Cross multiply
    196.28x = 270.77 × 152.02
  4. Step 4: Simplify right side
    196.28x = 41,162.46
  5. Step 5: Solve for x
    x = 41,162.46/196.28
  6. Step 6: Final answer
    x = 209.71

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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.