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Finding the Fourth Proportional to 366.55, 505.93 and 209.27

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Solution

The fourth proportional to 366.55, 505.93 and 209.27 is: 288.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.55 : 505.93 = 209.27 : x
  2. Step 2: Convert to fraction form
    366.55/505.93 = 209.27/x
  3. Step 3: Cross multiply
    366.55x = 505.93 × 209.27
  4. Step 4: Simplify right side
    366.55x = 105,875.97
  5. Step 5: Solve for x
    x = 105,875.97/366.55
  6. Step 6: Final answer
    x = 288.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.