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Finding the Fourth Proportional to 209.68, 314.76 and 140.32

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Solution

The fourth proportional to 209.68, 314.76 and 140.32 is: 210.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.68 : 314.76 = 140.32 : x
  2. Step 2: Convert to fraction form
    209.68/314.76 = 140.32/x
  3. Step 3: Cross multiply
    209.68x = 314.76 × 140.32
  4. Step 4: Simplify right side
    209.68x = 44,167.12
  5. Step 5: Solve for x
    x = 44,167.12/209.68
  6. Step 6: Final answer
    x = 210.64

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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.