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Finding the Fourth Proportional to 196.40, 271.13 and 130.10

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Solution

The fourth proportional to 196.40, 271.13 and 130.10 is: 179.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.40 : 271.13 = 130.10 : x
  2. Step 2: Convert to fraction form
    196.40/271.13 = 130.10/x
  3. Step 3: Cross multiply
    196.40x = 271.13 × 130.10
  4. Step 4: Simplify right side
    196.40x = 35,274.01
  5. Step 5: Solve for x
    x = 35,274.01/196.40
  6. Step 6: Final answer
    x = 179.60

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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.