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Finding the Fourth Proportional to 207.50, 286.26 and 141.98

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Solution

The fourth proportional to 207.50, 286.26 and 141.98 is: 195.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.50 : 286.26 = 141.98 : x
  2. Step 2: Convert to fraction form
    207.50/286.26 = 141.98/x
  3. Step 3: Cross multiply
    207.50x = 286.26 × 141.98
  4. Step 4: Simplify right side
    207.50x = 40,643.19
  5. Step 5: Solve for x
    x = 40,643.19/207.50
  6. Step 6: Final answer
    x = 195.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.