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Finding the Fourth Proportional to 223.88, 334.37 and 187.84

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Solution

The fourth proportional to 223.88, 334.37 and 187.84 is: 280.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.88 : 334.37 = 187.84 : x
  2. Step 2: Convert to fraction form
    223.88/334.37 = 187.84/x
  3. Step 3: Cross multiply
    223.88x = 334.37 × 187.84
  4. Step 4: Simplify right side
    223.88x = 62,808.06
  5. Step 5: Solve for x
    x = 62,808.06/223.88
  6. Step 6: Final answer
    x = 280.54

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.