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Finding the Fourth Proportional to 288.12, 397.50 and 171.62

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Solution

The fourth proportional to 288.12, 397.50 and 171.62 is: 236.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.12 : 397.50 = 171.62 : x
  2. Step 2: Convert to fraction form
    288.12/397.50 = 171.62/x
  3. Step 3: Cross multiply
    288.12x = 397.50 × 171.62
  4. Step 4: Simplify right side
    288.12x = 68,218.95
  5. Step 5: Solve for x
    x = 68,218.95/288.12
  6. Step 6: Final answer
    x = 236.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.