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Finding the Fourth Proportional to 202.71, 304.22 and 94.51

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Solution

The fourth proportional to 202.71, 304.22 and 94.51 is: 141.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.71 : 304.22 = 94.51 : x
  2. Step 2: Convert to fraction form
    202.71/304.22 = 94.51/x
  3. Step 3: Cross multiply
    202.71x = 304.22 × 94.51
  4. Step 4: Simplify right side
    202.71x = 28,751.83
  5. Step 5: Solve for x
    x = 28,751.83/202.71
  6. Step 6: Final answer
    x = 141.84

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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.