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Finding the Fourth Proportional to 202.70, 304.01 and 91.53

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Solution

The fourth proportional to 202.70, 304.01 and 91.53 is: 137.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.70 : 304.01 = 91.53 : x
  2. Step 2: Convert to fraction form
    202.70/304.01 = 91.53/x
  3. Step 3: Cross multiply
    202.70x = 304.01 × 91.53
  4. Step 4: Simplify right side
    202.70x = 27,826.18
  5. Step 5: Solve for x
    x = 27,826.18/202.70
  6. Step 6: Final answer
    x = 137.28

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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.