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Finding the Fourth Proportional to 265.58, 364.20 and 252.82

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Solution

The fourth proportional to 265.58, 364.20 and 252.82 is: 346.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.58 : 364.20 = 252.82 : x
  2. Step 2: Convert to fraction form
    265.58/364.20 = 252.82/x
  3. Step 3: Cross multiply
    265.58x = 364.20 × 252.82
  4. Step 4: Simplify right side
    265.58x = 92,076.55
  5. Step 5: Solve for x
    x = 92,076.55/265.58
  6. Step 6: Final answer
    x = 346.70

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.