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Finding the Fourth Proportional to 262.61, 393.57 and 116.31

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Solution

The fourth proportional to 262.61, 393.57 and 116.31 is: 174.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.61 : 393.57 = 116.31 : x
  2. Step 2: Convert to fraction form
    262.61/393.57 = 116.31/x
  3. Step 3: Cross multiply
    262.61x = 393.57 × 116.31
  4. Step 4: Simplify right side
    262.61x = 45,776.13
  5. Step 5: Solve for x
    x = 45,776.13/262.61
  6. Step 6: Final answer
    x = 174.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.