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Finding the Fourth Proportional to 209.42, 316.42 and 207.44

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Solution

The fourth proportional to 209.42, 316.42 and 207.44 is: 313.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.42 : 316.42 = 207.44 : x
  2. Step 2: Convert to fraction form
    209.42/316.42 = 207.44/x
  3. Step 3: Cross multiply
    209.42x = 316.42 × 207.44
  4. Step 4: Simplify right side
    209.42x = 65,638.16
  5. Step 5: Solve for x
    x = 65,638.16/209.42
  6. Step 6: Final answer
    x = 313.43

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.