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Finding the Fourth Proportional to 203.04, 304.29 and 130.68

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Solution

The fourth proportional to 203.04, 304.29 and 130.68 is: 195.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.04 : 304.29 = 130.68 : x
  2. Step 2: Convert to fraction form
    203.04/304.29 = 130.68/x
  3. Step 3: Cross multiply
    203.04x = 304.29 × 130.68
  4. Step 4: Simplify right side
    203.04x = 39,764.62
  5. Step 5: Solve for x
    x = 39,764.62/203.04
  6. Step 6: Final answer
    x = 195.85

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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.