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Finding the Fourth Proportional to 366.16, 505.31 and 208.82

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Solution

The fourth proportional to 366.16, 505.31 and 208.82 is: 288.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.16 : 505.31 = 208.82 : x
  2. Step 2: Convert to fraction form
    366.16/505.31 = 208.82/x
  3. Step 3: Cross multiply
    366.16x = 505.31 × 208.82
  4. Step 4: Simplify right side
    366.16x = 105,518.83
  5. Step 5: Solve for x
    x = 105,518.83/366.16
  6. Step 6: Final answer
    x = 288.18

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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.