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Finding the Fourth Proportional to 209.07, 312.93 and 170.46

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Solution

The fourth proportional to 209.07, 312.93 and 170.46 is: 255.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.07 : 312.93 = 170.46 : x
  2. Step 2: Convert to fraction form
    209.07/312.93 = 170.46/x
  3. Step 3: Cross multiply
    209.07x = 312.93 × 170.46
  4. Step 4: Simplify right side
    209.07x = 53,342.05
  5. Step 5: Solve for x
    x = 53,342.05/209.07
  6. Step 6: Final answer
    x = 255.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.