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Finding the Fourth Proportional to 175.21, 262.81 and 67.01

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Solution

The fourth proportional to 175.21, 262.81 and 67.01 is: 100.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.21 : 262.81 = 67.01 : x
  2. Step 2: Convert to fraction form
    175.21/262.81 = 67.01/x
  3. Step 3: Cross multiply
    175.21x = 262.81 × 67.01
  4. Step 4: Simplify right side
    175.21x = 17,609.58
  5. Step 5: Solve for x
    x = 17,609.58/175.21
  6. Step 6: Final answer
    x = 100.51

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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.