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Finding the Fourth Proportional to 209.07, 288.59 and 162.59

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Solution

The fourth proportional to 209.07, 288.59 and 162.59 is: 224.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.07 : 288.59 = 162.59 : x
  2. Step 2: Convert to fraction form
    209.07/288.59 = 162.59/x
  3. Step 3: Cross multiply
    209.07x = 288.59 × 162.59
  4. Step 4: Simplify right side
    209.07x = 46,919.59
  5. Step 5: Solve for x
    x = 46,919.59/209.07
  6. Step 6: Final answer
    x = 224.42

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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.