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Finding the Fourth Proportional to 190.64, 263.06 and 106.61

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Solution

The fourth proportional to 190.64, 263.06 and 106.61 is: 147.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.64 : 263.06 = 106.61 : x
  2. Step 2: Convert to fraction form
    190.64/263.06 = 106.61/x
  3. Step 3: Cross multiply
    190.64x = 263.06 × 106.61
  4. Step 4: Simplify right side
    190.64x = 28,044.83
  5. Step 5: Solve for x
    x = 28,044.83/190.64
  6. Step 6: Final answer
    x = 147.11

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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.