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Finding the Fourth Proportional to 262.24, 392.83 and 170.66

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Solution

The fourth proportional to 262.24, 392.83 and 170.66 is: 255.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.24 : 392.83 = 170.66 : x
  2. Step 2: Convert to fraction form
    262.24/392.83 = 170.66/x
  3. Step 3: Cross multiply
    262.24x = 392.83 × 170.66
  4. Step 4: Simplify right side
    262.24x = 67,040.37
  5. Step 5: Solve for x
    x = 67,040.37/262.24
  6. Step 6: Final answer
    x = 255.65

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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.