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Finding the Fourth Proportional to 229.10, 342.22 and 221.00

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Solution

The fourth proportional to 229.10, 342.22 and 221.00 is: 330.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.10 : 342.22 = 221.00 : x
  2. Step 2: Convert to fraction form
    229.10/342.22 = 221.00/x
  3. Step 3: Cross multiply
    229.10x = 342.22 × 221.00
  4. Step 4: Simplify right side
    229.10x = 75,628.36
  5. Step 5: Solve for x
    x = 75,628.36/229.10
  6. Step 6: Final answer
    x = 330.12

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.