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Finding the Fourth Proportional to 288.23, 431.95 and 105.44

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Solution

The fourth proportional to 288.23, 431.95 and 105.44 is: 158.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.23 : 431.95 = 105.44 : x
  2. Step 2: Convert to fraction form
    288.23/431.95 = 105.44/x
  3. Step 3: Cross multiply
    288.23x = 431.95 × 105.44
  4. Step 4: Simplify right side
    288.23x = 45,545.62
  5. Step 5: Solve for x
    x = 45,545.62/288.23
  6. Step 6: Final answer
    x = 158.02

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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.