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Finding the Fourth Proportional to 202.96, 304.79 and 179.88

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Solution

The fourth proportional to 202.96, 304.79 and 179.88 is: 270.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.96 : 304.79 = 179.88 : x
  2. Step 2: Convert to fraction form
    202.96/304.79 = 179.88/x
  3. Step 3: Cross multiply
    202.96x = 304.79 × 179.88
  4. Step 4: Simplify right side
    202.96x = 54,825.63
  5. Step 5: Solve for x
    x = 54,825.63/202.96
  6. Step 6: Final answer
    x = 270.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.