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Finding the Fourth Proportional to 209.25, 288.72 and 139.32

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Solution

The fourth proportional to 209.25, 288.72 and 139.32 is: 192.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.25 : 288.72 = 139.32 : x
  2. Step 2: Convert to fraction form
    209.25/288.72 = 139.32/x
  3. Step 3: Cross multiply
    209.25x = 288.72 × 139.32
  4. Step 4: Simplify right side
    209.25x = 40,224.47
  5. Step 5: Solve for x
    x = 40,224.47/209.25
  6. Step 6: Final answer
    x = 192.23

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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.