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Finding the Fourth Proportional to 196.42, 270.87 and 130.93

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Solution

The fourth proportional to 196.42, 270.87 and 130.93 is: 180.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.42 : 270.87 = 130.93 : x
  2. Step 2: Convert to fraction form
    196.42/270.87 = 130.93/x
  3. Step 3: Cross multiply
    196.42x = 270.87 × 130.93
  4. Step 4: Simplify right side
    196.42x = 35,465.01
  5. Step 5: Solve for x
    x = 35,465.01/196.42
  6. Step 6: Final answer
    x = 180.56

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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.