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Finding the Fourth Proportional to 209.04, 288.36 and 188.16

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Solution

The fourth proportional to 209.04, 288.36 and 188.16 is: 259.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.04 : 288.36 = 188.16 : x
  2. Step 2: Convert to fraction form
    209.04/288.36 = 188.16/x
  3. Step 3: Cross multiply
    209.04x = 288.36 × 188.16
  4. Step 4: Simplify right side
    209.04x = 54,257.82
  5. Step 5: Solve for x
    x = 54,257.82/209.04
  6. Step 6: Final answer
    x = 259.56

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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.