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Finding the Fourth Proportional to 202.92, 304.06 and 116.14

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Solution

The fourth proportional to 202.92, 304.06 and 116.14 is: 174.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.92 : 304.06 = 116.14 : x
  2. Step 2: Convert to fraction form
    202.92/304.06 = 116.14/x
  3. Step 3: Cross multiply
    202.92x = 304.06 × 116.14
  4. Step 4: Simplify right side
    202.92x = 35,313.53
  5. Step 5: Solve for x
    x = 35,313.53/202.92
  6. Step 6: Final answer
    x = 174.03

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Why These Related Problems?

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