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Finding the Fourth Proportional to 216.60, 298.62 and 167.28

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Solution

The fourth proportional to 216.60, 298.62 and 167.28 is: 230.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.60 : 298.62 = 167.28 : x
  2. Step 2: Convert to fraction form
    216.60/298.62 = 167.28/x
  3. Step 3: Cross multiply
    216.60x = 298.62 × 167.28
  4. Step 4: Simplify right side
    216.60x = 49,953.15
  5. Step 5: Solve for x
    x = 49,953.15/216.60
  6. Step 6: Final answer
    x = 230.62

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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.