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Finding the Fourth Proportional to 223.86, 335.80 and 101.98

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Solution

The fourth proportional to 223.86, 335.80 and 101.98 is: 152.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.86 : 335.80 = 101.98 : x
  2. Step 2: Convert to fraction form
    223.86/335.80 = 101.98/x
  3. Step 3: Cross multiply
    223.86x = 335.80 × 101.98
  4. Step 4: Simplify right side
    223.86x = 34,245.80
  5. Step 5: Solve for x
    x = 34,245.80/223.86
  6. Step 6: Final answer
    x = 152.98

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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.