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Finding the Fourth Proportional to 264.34, 395.91 and 191.86

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Solution

The fourth proportional to 264.34, 395.91 and 191.86 is: 287.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.34 : 395.91 = 191.86 : x
  2. Step 2: Convert to fraction form
    264.34/395.91 = 191.86/x
  3. Step 3: Cross multiply
    264.34x = 395.91 × 191.86
  4. Step 4: Simplify right side
    264.34x = 75,959.29
  5. Step 5: Solve for x
    x = 75,959.29/264.34
  6. Step 6: Final answer
    x = 287.35

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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.