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Finding the Fourth Proportional to 264.38, 395.96 and 223.47

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Solution

The fourth proportional to 264.38, 395.96 and 223.47 is: 334.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.38 : 395.96 = 223.47 : x
  2. Step 2: Convert to fraction form
    264.38/395.96 = 223.47/x
  3. Step 3: Cross multiply
    264.38x = 395.96 × 223.47
  4. Step 4: Simplify right side
    264.38x = 88,484.06
  5. Step 5: Solve for x
    x = 88,484.06/264.38
  6. Step 6: Final answer
    x = 334.69

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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.