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Finding the Fourth Proportional to 262.07, 392.90 and 159.33

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Solution

The fourth proportional to 262.07, 392.90 and 159.33 is: 238.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.07 : 392.90 = 159.33 : x
  2. Step 2: Convert to fraction form
    262.07/392.90 = 159.33/x
  3. Step 3: Cross multiply
    262.07x = 392.90 × 159.33
  4. Step 4: Simplify right side
    262.07x = 62,599.96
  5. Step 5: Solve for x
    x = 62,599.96/262.07
  6. Step 6: Final answer
    x = 238.87

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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.