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Finding the Fourth Proportional to 196.54, 270.86 and 147.40

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Solution

The fourth proportional to 196.54, 270.86 and 147.40 is: 203.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.54 : 270.86 = 147.40 : x
  2. Step 2: Convert to fraction form
    196.54/270.86 = 147.40/x
  3. Step 3: Cross multiply
    196.54x = 270.86 × 147.40
  4. Step 4: Simplify right side
    196.54x = 39,924.76
  5. Step 5: Solve for x
    x = 39,924.76/196.54
  6. Step 6: Final answer
    x = 203.14

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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.