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Finding the Fourth Proportional to 202.91, 305.44 and 184.05

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Solution

The fourth proportional to 202.91, 305.44 and 184.05 is: 277.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.91 : 305.44 = 184.05 : x
  2. Step 2: Convert to fraction form
    202.91/305.44 = 184.05/x
  3. Step 3: Cross multiply
    202.91x = 305.44 × 184.05
  4. Step 4: Simplify right side
    202.91x = 56,215.77
  5. Step 5: Solve for x
    x = 56,215.77/202.91
  6. Step 6: Final answer
    x = 277.05

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.