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Finding the Fourth Proportional to 286.02, 428.70 and 131.80

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Solution

The fourth proportional to 286.02, 428.70 and 131.80 is: 197.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.02 : 428.70 = 131.80 : x
  2. Step 2: Convert to fraction form
    286.02/428.70 = 131.80/x
  3. Step 3: Cross multiply
    286.02x = 428.70 × 131.80
  4. Step 4: Simplify right side
    286.02x = 56,502.66
  5. Step 5: Solve for x
    x = 56,502.66/286.02
  6. Step 6: Final answer
    x = 197.55

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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.