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Finding the Fourth Proportional to 259.66, 357.95 and 204.29

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Solution

The fourth proportional to 259.66, 357.95 and 204.29 is: 281.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.66 : 357.95 = 204.29 : x
  2. Step 2: Convert to fraction form
    259.66/357.95 = 204.29/x
  3. Step 3: Cross multiply
    259.66x = 357.95 × 204.29
  4. Step 4: Simplify right side
    259.66x = 73,127.68
  5. Step 5: Solve for x
    x = 73,127.68/259.66
  6. Step 6: Final answer
    x = 281.63

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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.