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Finding the Fourth Proportional to 190.80, 263.14 and 128.58

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Solution

The fourth proportional to 190.80, 263.14 and 128.58 is: 177.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.80 : 263.14 = 128.58 : x
  2. Step 2: Convert to fraction form
    190.80/263.14 = 128.58/x
  3. Step 3: Cross multiply
    190.80x = 263.14 × 128.58
  4. Step 4: Simplify right side
    190.80x = 33,834.54
  5. Step 5: Solve for x
    x = 33,834.54/190.80
  6. Step 6: Final answer
    x = 177.33

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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.