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Finding the Fourth Proportional to 286.31, 429.08 and 149.07

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Solution

The fourth proportional to 286.31, 429.08 and 149.07 is: 223.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.31 : 429.08 = 149.07 : x
  2. Step 2: Convert to fraction form
    286.31/429.08 = 149.07/x
  3. Step 3: Cross multiply
    286.31x = 429.08 × 149.07
  4. Step 4: Simplify right side
    286.31x = 63,962.21
  5. Step 5: Solve for x
    x = 63,962.21/286.31
  6. Step 6: Final answer
    x = 223.41

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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.