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Finding the Fourth Proportional to 259.10, 356.51 and 252.95

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Solution

The fourth proportional to 259.10, 356.51 and 252.95 is: 348.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.10 : 356.51 = 252.95 : x
  2. Step 2: Convert to fraction form
    259.10/356.51 = 252.95/x
  3. Step 3: Cross multiply
    259.10x = 356.51 × 252.95
  4. Step 4: Simplify right side
    259.10x = 90,179.39
  5. Step 5: Solve for x
    x = 90,179.39/259.10
  6. Step 6: Final answer
    x = 348.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.