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Finding the Fourth Proportional to 229.20, 342.21 and 206.16

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Solution

The fourth proportional to 229.20, 342.21 and 206.16 is: 307.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.20 : 342.21 = 206.16 : x
  2. Step 2: Convert to fraction form
    229.20/342.21 = 206.16/x
  3. Step 3: Cross multiply
    229.20x = 342.21 × 206.16
  4. Step 4: Simplify right side
    229.20x = 70,550.27
  5. Step 5: Solve for x
    x = 70,550.27/229.20
  6. Step 6: Final answer
    x = 307.82

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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.