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Finding the Fourth Proportional to 366.18, 505.34 and 208.83

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Solution

The fourth proportional to 366.18, 505.34 and 208.83 is: 288.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.18 : 505.34 = 208.83 : x
  2. Step 2: Convert to fraction form
    366.18/505.34 = 208.83/x
  3. Step 3: Cross multiply
    366.18x = 505.34 × 208.83
  4. Step 4: Simplify right side
    366.18x = 105,529.11
  5. Step 5: Solve for x
    x = 105,529.11/366.18
  6. Step 6: Final answer
    x = 288.19

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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.