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Finding the Fourth Proportional to 207.11, 285.28 and 157.90

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Solution

The fourth proportional to 207.11, 285.28 and 157.90 is: 217.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.11 : 285.28 = 157.90 : x
  2. Step 2: Convert to fraction form
    207.11/285.28 = 157.90/x
  3. Step 3: Cross multiply
    207.11x = 285.28 × 157.90
  4. Step 4: Simplify right side
    207.11x = 45,045.20
  5. Step 5: Solve for x
    x = 45,045.20/207.11
  6. Step 6: Final answer
    x = 217.50

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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.