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Finding the Fourth Proportional to 191.82, 287.86 and 175.88

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Solution

The fourth proportional to 191.82, 287.86 and 175.88 is: 263.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.82 : 287.86 = 175.88 : x
  2. Step 2: Convert to fraction form
    191.82/287.86 = 175.88/x
  3. Step 3: Cross multiply
    191.82x = 287.86 × 175.88
  4. Step 4: Simplify right side
    191.82x = 50,628.82
  5. Step 5: Solve for x
    x = 50,628.82/191.82
  6. Step 6: Final answer
    x = 263.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.