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Finding the Fourth Proportional to 288.10, 431.97 and 105.43

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Solution

The fourth proportional to 288.10, 431.97 and 105.43 is: 158.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.10 : 431.97 = 105.43 : x
  2. Step 2: Convert to fraction form
    288.10/431.97 = 105.43/x
  3. Step 3: Cross multiply
    288.10x = 431.97 × 105.43
  4. Step 4: Simplify right side
    288.10x = 45,542.60
  5. Step 5: Solve for x
    x = 45,542.60/288.10
  6. Step 6: Final answer
    x = 158.08

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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.