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Finding the Fourth Proportional to 288.67, 431.98 and 166.34

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Solution

The fourth proportional to 288.67, 431.98 and 166.34 is: 248.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.67 : 431.98 = 166.34 : x
  2. Step 2: Convert to fraction form
    288.67/431.98 = 166.34/x
  3. Step 3: Cross multiply
    288.67x = 431.98 × 166.34
  4. Step 4: Simplify right side
    288.67x = 71,852.98
  5. Step 5: Solve for x
    x = 71,852.98/288.67
  6. Step 6: Final answer
    x = 248.91

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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.