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Finding the Fourth Proportional to 131.40, 196.18 and 130.48

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Solution

The fourth proportional to 131.40, 196.18 and 130.48 is: 194.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.40 : 196.18 = 130.48 : x
  2. Step 2: Convert to fraction form
    131.40/196.18 = 130.48/x
  3. Step 3: Cross multiply
    131.40x = 196.18 × 130.48
  4. Step 4: Simplify right side
    131.40x = 25,597.57
  5. Step 5: Solve for x
    x = 25,597.57/131.40
  6. Step 6: Final answer
    x = 194.81

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.