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Finding the Fourth Proportional to 188.27, 259.43 and 175.30

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Solution

The fourth proportional to 188.27, 259.43 and 175.30 is: 241.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.27 : 259.43 = 175.30 : x
  2. Step 2: Convert to fraction form
    188.27/259.43 = 175.30/x
  3. Step 3: Cross multiply
    188.27x = 259.43 × 175.30
  4. Step 4: Simplify right side
    188.27x = 45,476.78
  5. Step 5: Solve for x
    x = 45,476.78/188.27
  6. Step 6: Final answer
    x = 241.55

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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.