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Finding the Fourth Proportional to 196.20, 270.69 and 117.53

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Solution

The fourth proportional to 196.20, 270.69 and 117.53 is: 162.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.20 : 270.69 = 117.53 : x
  2. Step 2: Convert to fraction form
    196.20/270.69 = 117.53/x
  3. Step 3: Cross multiply
    196.20x = 270.69 × 117.53
  4. Step 4: Simplify right side
    196.20x = 31,813.42
  5. Step 5: Solve for x
    x = 31,813.42/196.20
  6. Step 6: Final answer
    x = 162.15

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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.