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Finding the Fourth Proportional to 207.08, 285.77 and 113.82

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Solution

The fourth proportional to 207.08, 285.77 and 113.82 is: 157.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.08 : 285.77 = 113.82 : x
  2. Step 2: Convert to fraction form
    207.08/285.77 = 113.82/x
  3. Step 3: Cross multiply
    207.08x = 285.77 × 113.82
  4. Step 4: Simplify right side
    207.08x = 32,527.68
  5. Step 5: Solve for x
    x = 32,527.68/207.08
  6. Step 6: Final answer
    x = 157.08

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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.