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Finding the Fourth Proportional to 262.59, 393.69 and 171.01

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Solution

The fourth proportional to 262.59, 393.69 and 171.01 is: 256.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.59 : 393.69 = 171.01 : x
  2. Step 2: Convert to fraction form
    262.59/393.69 = 171.01/x
  3. Step 3: Cross multiply
    262.59x = 393.69 × 171.01
  4. Step 4: Simplify right side
    262.59x = 67,324.62
  5. Step 5: Solve for x
    x = 67,324.62/262.59
  6. Step 6: Final answer
    x = 256.38

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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.