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Finding the Fourth Proportional to 264.14, 395.76 and 142.46

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Solution

The fourth proportional to 264.14, 395.76 and 142.46 is: 213.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.14 : 395.76 = 142.46 : x
  2. Step 2: Convert to fraction form
    264.14/395.76 = 142.46/x
  3. Step 3: Cross multiply
    264.14x = 395.76 × 142.46
  4. Step 4: Simplify right side
    264.14x = 56,379.97
  5. Step 5: Solve for x
    x = 56,379.97/264.14
  6. Step 6: Final answer
    x = 213.45

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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.