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Finding the Fourth Proportional to 300.15, 450.36 and 184.77

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Solution

The fourth proportional to 300.15, 450.36 and 184.77 is: 277.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.15 : 450.36 = 184.77 : x
  2. Step 2: Convert to fraction form
    300.15/450.36 = 184.77/x
  3. Step 3: Cross multiply
    300.15x = 450.36 × 184.77
  4. Step 4: Simplify right side
    300.15x = 83,213.02
  5. Step 5: Solve for x
    x = 83,213.02/300.15
  6. Step 6: Final answer
    x = 277.24

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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.