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Finding the Fourth Proportional to 223.68, 308.44 and 158.16

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Solution

The fourth proportional to 223.68, 308.44 and 158.16 is: 218.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.68 : 308.44 = 158.16 : x
  2. Step 2: Convert to fraction form
    223.68/308.44 = 158.16/x
  3. Step 3: Cross multiply
    223.68x = 308.44 × 158.16
  4. Step 4: Simplify right side
    223.68x = 48,782.87
  5. Step 5: Solve for x
    x = 48,782.87/223.68
  6. Step 6: Final answer
    x = 218.09

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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.