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Finding the Fourth Proportional to 216.84, 298.89 and 151.23

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Solution

The fourth proportional to 216.84, 298.89 and 151.23 is: 208.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.84 : 298.89 = 151.23 : x
  2. Step 2: Convert to fraction form
    216.84/298.89 = 151.23/x
  3. Step 3: Cross multiply
    216.84x = 298.89 × 151.23
  4. Step 4: Simplify right side
    216.84x = 45,201.13
  5. Step 5: Solve for x
    x = 45,201.13/216.84
  6. Step 6: Final answer
    x = 208.45

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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.