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Finding the Fourth Proportional to 262.01, 393.02 and 117.73

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Solution

The fourth proportional to 262.01, 393.02 and 117.73 is: 176.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.01 : 393.02 = 117.73 : x
  2. Step 2: Convert to fraction form
    262.01/393.02 = 117.73/x
  3. Step 3: Cross multiply
    262.01x = 393.02 × 117.73
  4. Step 4: Simplify right side
    262.01x = 46,269.66
  5. Step 5: Solve for x
    x = 46,269.66/262.01
  6. Step 6: Final answer
    x = 176.60

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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.