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Finding the Fourth Proportional to 366.53, 505.71 and 209.12

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Solution

The fourth proportional to 366.53, 505.71 and 209.12 is: 288.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.53 : 505.71 = 209.12 : x
  2. Step 2: Convert to fraction form
    366.53/505.71 = 209.12/x
  3. Step 3: Cross multiply
    366.53x = 505.71 × 209.12
  4. Step 4: Simplify right side
    366.53x = 105,751.55
  5. Step 5: Solve for x
    x = 105,751.55/366.53
  6. Step 6: Final answer
    x = 288.52

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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.