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Finding the Fourth Proportional to 218.09, 300.61 and 165.46

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Solution

The fourth proportional to 218.09, 300.61 and 165.46 is: 228.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.09 : 300.61 = 165.46 : x
  2. Step 2: Convert to fraction form
    218.09/300.61 = 165.46/x
  3. Step 3: Cross multiply
    218.09x = 300.61 × 165.46
  4. Step 4: Simplify right side
    218.09x = 49,737.77
  5. Step 5: Solve for x
    x = 49,737.77/218.09
  6. Step 6: Final answer
    x = 228.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.