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Finding the Fourth Proportional to 265.74, 365.85 and 252.06

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Solution

The fourth proportional to 265.74, 365.85 and 252.06 is: 347.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.74 : 365.85 = 252.06 : x
  2. Step 2: Convert to fraction form
    265.74/365.85 = 252.06/x
  3. Step 3: Cross multiply
    265.74x = 365.85 × 252.06
  4. Step 4: Simplify right side
    265.74x = 92,216.15
  5. Step 5: Solve for x
    x = 92,216.15/265.74
  6. Step 6: Final answer
    x = 347.02

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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.