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Finding the Fourth Proportional to 203.14, 304.07 and 164.29

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Solution

The fourth proportional to 203.14, 304.07 and 164.29 is: 245.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.14 : 304.07 = 164.29 : x
  2. Step 2: Convert to fraction form
    203.14/304.07 = 164.29/x
  3. Step 3: Cross multiply
    203.14x = 304.07 × 164.29
  4. Step 4: Simplify right side
    203.14x = 49,956.83
  5. Step 5: Solve for x
    x = 49,956.83/203.14
  6. Step 6: Final answer
    x = 245.93

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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.