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Finding the Fourth Proportional to 259.85, 358.26 and 204.50

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Solution

The fourth proportional to 259.85, 358.26 and 204.50 is: 281.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.85 : 358.26 = 204.50 : x
  2. Step 2: Convert to fraction form
    259.85/358.26 = 204.50/x
  3. Step 3: Cross multiply
    259.85x = 358.26 × 204.50
  4. Step 4: Simplify right side
    259.85x = 73,264.17
  5. Step 5: Solve for x
    x = 73,264.17/259.85
  6. Step 6: Final answer
    x = 281.95

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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.