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Finding the Fourth Proportional to 265.30, 365.73 and 187.54

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Solution

The fourth proportional to 265.30, 365.73 and 187.54 is: 258.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.30 : 365.73 = 187.54 : x
  2. Step 2: Convert to fraction form
    265.30/365.73 = 187.54/x
  3. Step 3: Cross multiply
    265.30x = 365.73 × 187.54
  4. Step 4: Simplify right side
    265.30x = 68,589.00
  5. Step 5: Solve for x
    x = 68,589.00/265.30
  6. Step 6: Final answer
    x = 258.53

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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.