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Finding the Fourth Proportional to 366.39, 505.62 and 219

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Solution

The fourth proportional to 366.39, 505.62 and 219 is: 302.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.39 : 505.62 = 219 : x
  2. Step 2: Convert to fraction form
    366.39/505.62 = 219/x
  3. Step 3: Cross multiply
    366.39x = 505.62 × 219
  4. Step 4: Simplify right side
    366.39x = 110,730.78
  5. Step 5: Solve for x
    x = 110,730.78/366.39
  6. Step 6: Final answer
    x = 302.22

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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.