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Finding the Fourth Proportional to 191.36, 263.64 and 125.75

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Solution

The fourth proportional to 191.36, 263.64 and 125.75 is: 173.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.36 : 263.64 = 125.75 : x
  2. Step 2: Convert to fraction form
    191.36/263.64 = 125.75/x
  3. Step 3: Cross multiply
    191.36x = 263.64 × 125.75
  4. Step 4: Simplify right side
    191.36x = 33,151.41
  5. Step 5: Solve for x
    x = 33,151.41/191.36
  6. Step 6: Final answer
    x = 173.25

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