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Finding the Fourth Proportional to 286.41, 429.67 and 91.35

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Solution

The fourth proportional to 286.41, 429.67 and 91.35 is: 137.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.41 : 429.67 = 91.35 : x
  2. Step 2: Convert to fraction form
    286.41/429.67 = 91.35/x
  3. Step 3: Cross multiply
    286.41x = 429.67 × 91.35
  4. Step 4: Simplify right side
    286.41x = 39,251.29
  5. Step 5: Solve for x
    x = 39,251.29/286.41
  6. Step 6: Final answer
    x = 137.05

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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.