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Finding the Fourth Proportional to 202.22, 304.07 and 194.93

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Solution

The fourth proportional to 202.22, 304.07 and 194.93 is: 293.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.22 : 304.07 = 194.93 : x
  2. Step 2: Convert to fraction form
    202.22/304.07 = 194.93/x
  3. Step 3: Cross multiply
    202.22x = 304.07 × 194.93
  4. Step 4: Simplify right side
    202.22x = 59,272.37
  5. Step 5: Solve for x
    x = 59,272.37/202.22
  6. Step 6: Final answer
    x = 293.11

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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.