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Finding the Fourth Proportional to 190.91, 263.47 and 108.02

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Solution

The fourth proportional to 190.91, 263.47 and 108.02 is: 149.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.91 : 263.47 = 108.02 : x
  2. Step 2: Convert to fraction form
    190.91/263.47 = 108.02/x
  3. Step 3: Cross multiply
    190.91x = 263.47 × 108.02
  4. Step 4: Simplify right side
    190.91x = 28,460.82
  5. Step 5: Solve for x
    x = 28,460.82/190.91
  6. Step 6: Final answer
    x = 149.08

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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.