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Finding the Fourth Proportional to 216.08, 297.83 and 152.97

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Solution

The fourth proportional to 216.08, 297.83 and 152.97 is: 210.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.08 : 297.83 = 152.97 : x
  2. Step 2: Convert to fraction form
    216.08/297.83 = 152.97/x
  3. Step 3: Cross multiply
    216.08x = 297.83 × 152.97
  4. Step 4: Simplify right side
    216.08x = 45,559.41
  5. Step 5: Solve for x
    x = 45,559.41/216.08
  6. Step 6: Final answer
    x = 210.85

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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.