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Finding the Fourth Proportional to 288.88, 433.24 and 83.44

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Solution

The fourth proportional to 288.88, 433.24 and 83.44 is: 125.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.88 : 433.24 = 83.44 : x
  2. Step 2: Convert to fraction form
    288.88/433.24 = 83.44/x
  3. Step 3: Cross multiply
    288.88x = 433.24 × 83.44
  4. Step 4: Simplify right side
    288.88x = 36,149.55
  5. Step 5: Solve for x
    x = 36,149.55/288.88
  6. Step 6: Final answer
    x = 125.14

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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.