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Finding the Fourth Proportional to 202.60, 303.69 and 86.95

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Solution

The fourth proportional to 202.60, 303.69 and 86.95 is: 130.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.60 : 303.69 = 86.95 : x
  2. Step 2: Convert to fraction form
    202.60/303.69 = 86.95/x
  3. Step 3: Cross multiply
    202.60x = 303.69 × 86.95
  4. Step 4: Simplify right side
    202.60x = 26,405.85
  5. Step 5: Solve for x
    x = 26,405.85/202.60
  6. Step 6: Final answer
    x = 130.33

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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.