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Finding the Fourth Proportional to 286.93, 429.99 and 165.23

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Solution

The fourth proportional to 286.93, 429.99 and 165.23 is: 247.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.93 : 429.99 = 165.23 : x
  2. Step 2: Convert to fraction form
    286.93/429.99 = 165.23/x
  3. Step 3: Cross multiply
    286.93x = 429.99 × 165.23
  4. Step 4: Simplify right side
    286.93x = 71,047.25
  5. Step 5: Solve for x
    x = 71,047.25/286.93
  6. Step 6: Final answer
    x = 247.61

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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.