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Finding the Fourth Proportional to 211.36, 317 and 108.52

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Solution

The fourth proportional to 211.36, 317 and 108.52 is: 162.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.36 : 317 = 108.52 : x
  2. Step 2: Convert to fraction form
    211.36/317 = 108.52/x
  3. Step 3: Cross multiply
    211.36x = 317 × 108.52
  4. Step 4: Simplify right side
    211.36x = 34,400.84
  5. Step 5: Solve for x
    x = 34,400.84/211.36
  6. Step 6: Final answer
    x = 162.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.