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Finding the Fourth Proportional to 286.05, 429.35 and 149.19

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Solution

The fourth proportional to 286.05, 429.35 and 149.19 is: 223.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.05 : 429.35 = 149.19 : x
  2. Step 2: Convert to fraction form
    286.05/429.35 = 149.19/x
  3. Step 3: Cross multiply
    286.05x = 429.35 × 149.19
  4. Step 4: Simplify right side
    286.05x = 64,054.73
  5. Step 5: Solve for x
    x = 64,054.73/286.05
  6. Step 6: Final answer
    x = 223.93

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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.