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Finding the Fourth Proportional to 216.80, 298.68 and 151.16

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Solution

The fourth proportional to 216.80, 298.68 and 151.16 is: 208.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.80 : 298.68 = 151.16 : x
  2. Step 2: Convert to fraction form
    216.80/298.68 = 151.16/x
  3. Step 3: Cross multiply
    216.80x = 298.68 × 151.16
  4. Step 4: Simplify right side
    216.80x = 45,148.47
  5. Step 5: Solve for x
    x = 45,148.47/216.80
  6. Step 6: Final answer
    x = 208.25

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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.