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Finding the Fourth Proportional to 286.98, 430.12 and 132.70

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Solution

The fourth proportional to 286.98, 430.12 and 132.70 is: 198.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.98 : 430.12 = 132.70 : x
  2. Step 2: Convert to fraction form
    286.98/430.12 = 132.70/x
  3. Step 3: Cross multiply
    286.98x = 430.12 × 132.70
  4. Step 4: Simplify right side
    286.98x = 57,076.92
  5. Step 5: Solve for x
    x = 57,076.92/286.98
  6. Step 6: Final answer
    x = 198.89

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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.