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Finding the Fourth Proportional to 262.76, 362.59 and 144.71

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Solution

The fourth proportional to 262.76, 362.59 and 144.71 is: 199.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.76 : 362.59 = 144.71 : x
  2. Step 2: Convert to fraction form
    262.76/362.59 = 144.71/x
  3. Step 3: Cross multiply
    262.76x = 362.59 × 144.71
  4. Step 4: Simplify right side
    262.76x = 52,469.31
  5. Step 5: Solve for x
    x = 52,469.31/262.76
  6. Step 6: Final answer
    x = 199.69

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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.