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Finding the Fourth Proportional to 286.86, 429.75 and 164.76

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Solution

The fourth proportional to 286.86, 429.75 and 164.76 is: 246.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.86 : 429.75 = 164.76 : x
  2. Step 2: Convert to fraction form
    286.86/429.75 = 164.76/x
  3. Step 3: Cross multiply
    286.86x = 429.75 × 164.76
  4. Step 4: Simplify right side
    286.86x = 70,805.61
  5. Step 5: Solve for x
    x = 70,805.61/286.86
  6. Step 6: Final answer
    x = 246.83

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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.