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Finding the Fourth Proportional to 223.93, 308.46 and 188.92

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Solution

The fourth proportional to 223.93, 308.46 and 188.92 is: 260.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.93 : 308.46 = 188.92 : x
  2. Step 2: Convert to fraction form
    223.93/308.46 = 188.92/x
  3. Step 3: Cross multiply
    223.93x = 308.46 × 188.92
  4. Step 4: Simplify right side
    223.93x = 58,274.26
  5. Step 5: Solve for x
    x = 58,274.26/223.93
  6. Step 6: Final answer
    x = 260.23

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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.