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Finding the Fourth Proportional to 209, 288.13 and 179.37

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Solution

The fourth proportional to 209, 288.13 and 179.37 is: 247.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    209 : 288.13 = 179.37 : x
  2. Step 2: Convert to fraction form
    209/288.13 = 179.37/x
  3. Step 3: Cross multiply
    209x = 288.13 × 179.37
  4. Step 4: Simplify right side
    209x = 51,681.88
  5. Step 5: Solve for x
    x = 51,681.88/209
  6. Step 6: Final answer
    x = 247.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.