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Finding the Fourth Proportional to 286.29, 429.07 and 123.81

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Solution

The fourth proportional to 286.29, 429.07 and 123.81 is: 185.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.29 : 429.07 = 123.81 : x
  2. Step 2: Convert to fraction form
    286.29/429.07 = 123.81/x
  3. Step 3: Cross multiply
    286.29x = 429.07 × 123.81
  4. Step 4: Simplify right side
    286.29x = 53,123.16
  5. Step 5: Solve for x
    x = 53,123.16/286.29
  6. Step 6: Final answer
    x = 185.56

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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.