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Finding the Fourth Proportional to 202.94, 304.14 and 129.68

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Solution

The fourth proportional to 202.94, 304.14 and 129.68 is: 194.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.94 : 304.14 = 129.68 : x
  2. Step 2: Convert to fraction form
    202.94/304.14 = 129.68/x
  3. Step 3: Cross multiply
    202.94x = 304.14 × 129.68
  4. Step 4: Simplify right side
    202.94x = 39,440.88
  5. Step 5: Solve for x
    x = 39,440.88/202.94
  6. Step 6: Final answer
    x = 194.35

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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.