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Finding the Fourth Proportional to 196.04, 270.69 and 130.52

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Solution

The fourth proportional to 196.04, 270.69 and 130.52 is: 180.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.04 : 270.69 = 130.52 : x
  2. Step 2: Convert to fraction form
    196.04/270.69 = 130.52/x
  3. Step 3: Cross multiply
    196.04x = 270.69 × 130.52
  4. Step 4: Simplify right side
    196.04x = 35,330.46
  5. Step 5: Solve for x
    x = 35,330.46/196.04
  6. Step 6: Final answer
    x = 180.22

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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.