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Finding the Fourth Proportional to 366.17, 505.42 and 218.91

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Solution

The fourth proportional to 366.17, 505.42 and 218.91 is: 302.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.17 : 505.42 = 218.91 : x
  2. Step 2: Convert to fraction form
    366.17/505.42 = 218.91/x
  3. Step 3: Cross multiply
    366.17x = 505.42 × 218.91
  4. Step 4: Simplify right side
    366.17x = 110,641.49
  5. Step 5: Solve for x
    x = 110,641.49/366.17
  6. Step 6: Final answer
    x = 302.16

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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.