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Finding the Fourth Proportional to 259.98, 359.22 and 221.10

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Solution

The fourth proportional to 259.98, 359.22 and 221.10 is: 305.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.98 : 359.22 = 221.10 : x
  2. Step 2: Convert to fraction form
    259.98/359.22 = 221.10/x
  3. Step 3: Cross multiply
    259.98x = 359.22 × 221.10
  4. Step 4: Simplify right side
    259.98x = 79,423.54
  5. Step 5: Solve for x
    x = 79,423.54/259.98
  6. Step 6: Final answer
    x = 305.50

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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.