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Finding the Fourth Proportional to 131.84, 197.63 and 118.17

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Solution

The fourth proportional to 131.84, 197.63 and 118.17 is: 177.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.84 : 197.63 = 118.17 : x
  2. Step 2: Convert to fraction form
    131.84/197.63 = 118.17/x
  3. Step 3: Cross multiply
    131.84x = 197.63 × 118.17
  4. Step 4: Simplify right side
    131.84x = 23,354.97
  5. Step 5: Solve for x
    x = 23,354.97/131.84
  6. Step 6: Final answer
    x = 177.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.