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Finding the Fourth Proportional to 288.22, 397.66 and 171.76

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Solution

The fourth proportional to 288.22, 397.66 and 171.76 is: 236.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.22 : 397.66 = 171.76 : x
  2. Step 2: Convert to fraction form
    288.22/397.66 = 171.76/x
  3. Step 3: Cross multiply
    288.22x = 397.66 × 171.76
  4. Step 4: Simplify right side
    288.22x = 68,302.08
  5. Step 5: Solve for x
    x = 68,302.08/288.22
  6. Step 6: Final answer
    x = 236.98

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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.