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Finding the Fourth Proportional to 209.93, 288.53 and 185.22

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Solution

The fourth proportional to 209.93, 288.53 and 185.22 is: 254.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.93 : 288.53 = 185.22 : x
  2. Step 2: Convert to fraction form
    209.93/288.53 = 185.22/x
  3. Step 3: Cross multiply
    209.93x = 288.53 × 185.22
  4. Step 4: Simplify right side
    209.93x = 53,441.53
  5. Step 5: Solve for x
    x = 53,441.53/209.93
  6. Step 6: Final answer
    x = 254.57

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.