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Finding the Fourth Proportional to 131.94, 196.84 and 118.24

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Solution

The fourth proportional to 131.94, 196.84 and 118.24 is: 176.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.94 : 196.84 = 118.24 : x
  2. Step 2: Convert to fraction form
    131.94/196.84 = 118.24/x
  3. Step 3: Cross multiply
    131.94x = 196.84 × 118.24
  4. Step 4: Simplify right side
    131.94x = 23,274.36
  5. Step 5: Solve for x
    x = 23,274.36/131.94
  6. Step 6: Final answer
    x = 176.40

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