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Finding the Fourth Proportional to 131.94, 196.88 and 118.27

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Solution

The fourth proportional to 131.94, 196.88 and 118.27 is: 176.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.94 : 196.88 = 118.27 : x
  2. Step 2: Convert to fraction form
    131.94/196.88 = 118.27/x
  3. Step 3: Cross multiply
    131.94x = 196.88 × 118.27
  4. Step 4: Simplify right side
    131.94x = 23,285.00
  5. Step 5: Solve for x
    x = 23,285.00/131.94
  6. Step 6: Final answer
    x = 176.48

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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.