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Finding the Fourth Proportional to 286.84, 429.99 and 149.68

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Solution

The fourth proportional to 286.84, 429.99 and 149.68 is: 224.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.84 : 429.99 = 149.68 : x
  2. Step 2: Convert to fraction form
    286.84/429.99 = 149.68/x
  3. Step 3: Cross multiply
    286.84x = 429.99 × 149.68
  4. Step 4: Simplify right side
    286.84x = 64,360.90
  5. Step 5: Solve for x
    x = 64,360.90/286.84
  6. Step 6: Final answer
    x = 224.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.