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Finding the Fourth Proportional to 209.64, 314.56 and 140.27

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Solution

The fourth proportional to 209.64, 314.56 and 140.27 is: 210.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.64 : 314.56 = 140.27 : x
  2. Step 2: Convert to fraction form
    209.64/314.56 = 140.27/x
  3. Step 3: Cross multiply
    209.64x = 314.56 × 140.27
  4. Step 4: Simplify right side
    209.64x = 44,124.47
  5. Step 5: Solve for x
    x = 44,124.47/209.64
  6. Step 6: Final answer
    x = 210.48

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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.