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Finding the Fourth Proportional to 216.52, 297.59 and 194.14

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Solution

The fourth proportional to 216.52, 297.59 and 194.14 is: 266.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.52 : 297.59 = 194.14 : x
  2. Step 2: Convert to fraction form
    216.52/297.59 = 194.14/x
  3. Step 3: Cross multiply
    216.52x = 297.59 × 194.14
  4. Step 4: Simplify right side
    216.52x = 57,774.12
  5. Step 5: Solve for x
    x = 57,774.12/216.52
  6. Step 6: Final answer
    x = 266.83

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.