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Finding the Fourth Proportional to 202.84, 303.60 and 129.76

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Solution

The fourth proportional to 202.84, 303.60 and 129.76 is: 194.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.84 : 303.60 = 129.76 : x
  2. Step 2: Convert to fraction form
    202.84/303.60 = 129.76/x
  3. Step 3: Cross multiply
    202.84x = 303.60 × 129.76
  4. Step 4: Simplify right side
    202.84x = 39,395.14
  5. Step 5: Solve for x
    x = 39,395.14/202.84
  6. Step 6: Final answer
    x = 194.22

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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.