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Finding the Fourth Proportional to 202.69, 303.63 and 184.87

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Solution

The fourth proportional to 202.69, 303.63 and 184.87 is: 276.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.69 : 303.63 = 184.87 : x
  2. Step 2: Convert to fraction form
    202.69/303.63 = 184.87/x
  3. Step 3: Cross multiply
    202.69x = 303.63 × 184.87
  4. Step 4: Simplify right side
    202.69x = 56,132.08
  5. Step 5: Solve for x
    x = 56,132.08/202.69
  6. Step 6: Final answer
    x = 276.94

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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.