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Finding the Fourth Proportional to 265.27, 365.88 and 186.75

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Solution

The fourth proportional to 265.27, 365.88 and 186.75 is: 257.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.27 : 365.88 = 186.75 : x
  2. Step 2: Convert to fraction form
    265.27/365.88 = 186.75/x
  3. Step 3: Cross multiply
    265.27x = 365.88 × 186.75
  4. Step 4: Simplify right side
    265.27x = 68,326.26
  5. Step 5: Solve for x
    x = 68,326.26/265.27
  6. Step 6: Final answer
    x = 257.58

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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.