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Finding the Fourth Proportional to 216.12, 297.95 and 169.45

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Solution

The fourth proportional to 216.12, 297.95 and 169.45 is: 233.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.12 : 297.95 = 169.45 : x
  2. Step 2: Convert to fraction form
    216.12/297.95 = 169.45/x
  3. Step 3: Cross multiply
    216.12x = 297.95 × 169.45
  4. Step 4: Simplify right side
    216.12x = 50,486.04
  5. Step 5: Solve for x
    x = 50,486.04/216.12
  6. Step 6: Final answer
    x = 233.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.