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Finding the Fourth Proportional to 287.76, 431.88 and 166.11

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Solution

The fourth proportional to 287.76, 431.88 and 166.11 is: 249.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.76 : 431.88 = 166.11 : x
  2. Step 2: Convert to fraction form
    287.76/431.88 = 166.11/x
  3. Step 3: Cross multiply
    287.76x = 431.88 × 166.11
  4. Step 4: Simplify right side
    287.76x = 71,739.59
  5. Step 5: Solve for x
    x = 71,739.59/287.76
  6. Step 6: Final answer
    x = 249.30

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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.