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Finding the Fourth Proportional to 202.06, 302.75 and 93.66

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Solution

The fourth proportional to 202.06, 302.75 and 93.66 is: 140.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.06 : 302.75 = 93.66 : x
  2. Step 2: Convert to fraction form
    202.06/302.75 = 93.66/x
  3. Step 3: Cross multiply
    202.06x = 302.75 × 93.66
  4. Step 4: Simplify right side
    202.06x = 28,354.05
  5. Step 5: Solve for x
    x = 28,354.05/202.06
  6. Step 6: Final answer
    x = 140.32

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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.