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Finding the Fourth Proportional to 265.60, 366.20 and 218.92

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Solution

The fourth proportional to 265.60, 366.20 and 218.92 is: 301.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.60 : 366.20 = 218.92 : x
  2. Step 2: Convert to fraction form
    265.60/366.20 = 218.92/x
  3. Step 3: Cross multiply
    265.60x = 366.20 × 218.92
  4. Step 4: Simplify right side
    265.60x = 80,168.50
  5. Step 5: Solve for x
    x = 80,168.50/265.60
  6. Step 6: Final answer
    x = 301.84

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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.