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Finding the Fourth Proportional to 286.22, 429 and 149.22

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Solution

The fourth proportional to 286.22, 429 and 149.22 is: 223.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.22 : 429 = 149.22 : x
  2. Step 2: Convert to fraction form
    286.22/429 = 149.22/x
  3. Step 3: Cross multiply
    286.22x = 429 × 149.22
  4. Step 4: Simplify right side
    286.22x = 64,015.38
  5. Step 5: Solve for x
    x = 64,015.38/286.22
  6. Step 6: Final answer
    x = 223.66

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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.