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Finding the Fourth Proportional to 223.23, 308.29 and 186.03

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Solution

The fourth proportional to 223.23, 308.29 and 186.03 is: 256.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.23 : 308.29 = 186.03 : x
  2. Step 2: Convert to fraction form
    223.23/308.29 = 186.03/x
  3. Step 3: Cross multiply
    223.23x = 308.29 × 186.03
  4. Step 4: Simplify right side
    223.23x = 57,351.19
  5. Step 5: Solve for x
    x = 57,351.19/223.23
  6. Step 6: Final answer
    x = 256.92

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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.