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Finding the Fourth Proportional to 211.97, 317.83 and 65.68

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Solution

The fourth proportional to 211.97, 317.83 and 65.68 is: 98.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.97 : 317.83 = 65.68 : x
  2. Step 2: Convert to fraction form
    211.97/317.83 = 65.68/x
  3. Step 3: Cross multiply
    211.97x = 317.83 × 65.68
  4. Step 4: Simplify right side
    211.97x = 20,875.23
  5. Step 5: Solve for x
    x = 20,875.23/211.97
  6. Step 6: Final answer
    x = 98.48

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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.