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Finding the Fourth Proportional to 286.91, 429.29 and 165.23

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Solution

The fourth proportional to 286.91, 429.29 and 165.23 is: 247.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.91 : 429.29 = 165.23 : x
  2. Step 2: Convert to fraction form
    286.91/429.29 = 165.23/x
  3. Step 3: Cross multiply
    286.91x = 429.29 × 165.23
  4. Step 4: Simplify right side
    286.91x = 70,930.76
  5. Step 5: Solve for x
    x = 70,930.76/286.91
  6. Step 6: Final answer
    x = 247.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.