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Finding the Fourth Proportional to 202.66, 303.85 and 87.06

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Solution

The fourth proportional to 202.66, 303.85 and 87.06 is: 130.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.66 : 303.85 = 87.06 : x
  2. Step 2: Convert to fraction form
    202.66/303.85 = 87.06/x
  3. Step 3: Cross multiply
    202.66x = 303.85 × 87.06
  4. Step 4: Simplify right side
    202.66x = 26,454.43
  5. Step 5: Solve for x
    x = 26,454.43/202.66
  6. Step 6: Final answer
    x = 130.54

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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.