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Finding the Fourth Proportional to 223.12, 307.74 and 167.86

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Solution

The fourth proportional to 223.12, 307.74 and 167.86 is: 231.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.12 : 307.74 = 167.86 : x
  2. Step 2: Convert to fraction form
    223.12/307.74 = 167.86/x
  3. Step 3: Cross multiply
    223.12x = 307.74 × 167.86
  4. Step 4: Simplify right side
    223.12x = 51,657.24
  5. Step 5: Solve for x
    x = 51,657.24/223.12
  6. Step 6: Final answer
    x = 231.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.