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Finding the Fourth Proportional to 207.64, 311.82 and 111.52

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Solution

The fourth proportional to 207.64, 311.82 and 111.52 is: 167.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.64 : 311.82 = 111.52 : x
  2. Step 2: Convert to fraction form
    207.64/311.82 = 111.52/x
  3. Step 3: Cross multiply
    207.64x = 311.82 × 111.52
  4. Step 4: Simplify right side
    207.64x = 34,774.17
  5. Step 5: Solve for x
    x = 34,774.17/207.64
  6. Step 6: Final answer
    x = 167.47

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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.