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Finding the Fourth Proportional to 881.18, 1,321.64 and 231.92

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Solution

The fourth proportional to 881.18, 1,321.64 and 231.92 is: 347.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    881.18 : 1,321.64 = 231.92 : x
  2. Step 2: Convert to fraction form
    881.18/1,321.64 = 231.92/x
  3. Step 3: Cross multiply
    881.18x = 1,321.64 × 231.92
  4. Step 4: Simplify right side
    881.18x = 306,509.16
  5. Step 5: Solve for x
    x = 306,509.16/881.18
  6. Step 6: Final answer
    x = 347.84

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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.