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Finding the Fourth Proportional to 190.88, 263.62 and 132.02

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Solution

The fourth proportional to 190.88, 263.62 and 132.02 is: 182.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.88 : 263.62 = 132.02 : x
  2. Step 2: Convert to fraction form
    190.88/263.62 = 132.02/x
  3. Step 3: Cross multiply
    190.88x = 263.62 × 132.02
  4. Step 4: Simplify right side
    190.88x = 34,803.11
  5. Step 5: Solve for x
    x = 34,803.11/190.88
  6. Step 6: Final answer
    x = 182.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.