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Finding the Fourth Proportional to 366.29, 505.46 and 218.93

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Solution

The fourth proportional to 366.29, 505.46 and 218.93 is: 302.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.29 : 505.46 = 218.93 : x
  2. Step 2: Convert to fraction form
    366.29/505.46 = 218.93/x
  3. Step 3: Cross multiply
    366.29x = 505.46 × 218.93
  4. Step 4: Simplify right side
    366.29x = 110,658.55
  5. Step 5: Solve for x
    x = 110,658.55/366.29
  6. Step 6: Final answer
    x = 302.10

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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.