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Finding the Fourth Proportional to 259.80, 358.98 and 204.98

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Solution

The fourth proportional to 259.80, 358.98 and 204.98 is: 283.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.80 : 358.98 = 204.98 : x
  2. Step 2: Convert to fraction form
    259.80/358.98 = 204.98/x
  3. Step 3: Cross multiply
    259.80x = 358.98 × 204.98
  4. Step 4: Simplify right side
    259.80x = 73,581.93
  5. Step 5: Solve for x
    x = 73,581.93/259.80
  6. Step 6: Final answer
    x = 283.23

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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.