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Finding the Fourth Proportional to 196.14, 270.54 and 130.76

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Solution

The fourth proportional to 196.14, 270.54 and 130.76 is: 180.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.14 : 270.54 = 130.76 : x
  2. Step 2: Convert to fraction form
    196.14/270.54 = 130.76/x
  3. Step 3: Cross multiply
    196.14x = 270.54 × 130.76
  4. Step 4: Simplify right side
    196.14x = 35,374.46
  5. Step 5: Solve for x
    x = 35,374.46/196.14
  6. Step 6: Final answer
    x = 180.35

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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.