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Finding the Fourth Proportional to 131.63, 196.53 and 130.33

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Solution

The fourth proportional to 131.63, 196.53 and 130.33 is: 194.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.63 : 196.53 = 130.33 : x
  2. Step 2: Convert to fraction form
    131.63/196.53 = 130.33/x
  3. Step 3: Cross multiply
    131.63x = 196.53 × 130.33
  4. Step 4: Simplify right side
    131.63x = 25,613.75
  5. Step 5: Solve for x
    x = 25,613.75/131.63
  6. Step 6: Final answer
    x = 194.59

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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.