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Finding the Fourth Proportional to 209.05, 313.76 and 106.40

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Solution

The fourth proportional to 209.05, 313.76 and 106.40 is: 159.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.05 : 313.76 = 106.40 : x
  2. Step 2: Convert to fraction form
    209.05/313.76 = 106.40/x
  3. Step 3: Cross multiply
    209.05x = 313.76 × 106.40
  4. Step 4: Simplify right side
    209.05x = 33,384.06
  5. Step 5: Solve for x
    x = 33,384.06/209.05
  6. Step 6: Final answer
    x = 159.70

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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.