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Finding the Fourth Proportional to 467.39, 701.22 and 142.81

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Solution

The fourth proportional to 467.39, 701.22 and 142.81 is: 214.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.39 : 701.22 = 142.81 : x
  2. Step 2: Convert to fraction form
    467.39/701.22 = 142.81/x
  3. Step 3: Cross multiply
    467.39x = 701.22 × 142.81
  4. Step 4: Simplify right side
    467.39x = 100,141.23
  5. Step 5: Solve for x
    x = 100,141.23/467.39
  6. Step 6: Final answer
    x = 214.26

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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.