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Finding the Fourth Proportional to 366.18, 505.40 and 218.90

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Solution

The fourth proportional to 366.18, 505.40 and 218.90 is: 302.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.18 : 505.40 = 218.90 : x
  2. Step 2: Convert to fraction form
    366.18/505.40 = 218.90/x
  3. Step 3: Cross multiply
    366.18x = 505.40 × 218.90
  4. Step 4: Simplify right side
    366.18x = 110,628.44
  5. Step 5: Solve for x
    x = 110,628.44/366.18
  6. Step 6: Final answer
    x = 302.11

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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.