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Finding the Fourth Proportional to 288.88, 433.42 and 126.54

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Solution

The fourth proportional to 288.88, 433.42 and 126.54 is: 189.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.88 : 433.42 = 126.54 : x
  2. Step 2: Convert to fraction form
    288.88/433.42 = 126.54/x
  3. Step 3: Cross multiply
    288.88x = 433.42 × 126.54
  4. Step 4: Simplify right side
    288.88x = 54,844.65
  5. Step 5: Solve for x
    x = 54,844.65/288.88
  6. Step 6: Final answer
    x = 189.85

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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.