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Finding the Fourth Proportional to 229.35, 342.26 and 209.91

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Solution

The fourth proportional to 229.35, 342.26 and 209.91 is: 313.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.35 : 342.26 = 209.91 : x
  2. Step 2: Convert to fraction form
    229.35/342.26 = 209.91/x
  3. Step 3: Cross multiply
    229.35x = 342.26 × 209.91
  4. Step 4: Simplify right side
    229.35x = 71,842.89
  5. Step 5: Solve for x
    x = 71,842.89/229.35
  6. Step 6: Final answer
    x = 313.25

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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.