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Finding the Fourth Proportional to 223.51, 334.77 and 184.90

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Solution

The fourth proportional to 223.51, 334.77 and 184.90 is: 276.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.51 : 334.77 = 184.90 : x
  2. Step 2: Convert to fraction form
    223.51/334.77 = 184.90/x
  3. Step 3: Cross multiply
    223.51x = 334.77 × 184.90
  4. Step 4: Simplify right side
    223.51x = 61,898.97
  5. Step 5: Solve for x
    x = 61,898.97/223.51
  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.