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Finding the Fourth Proportional to 209.62, 314.19 and 185.32

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Solution

The fourth proportional to 209.62, 314.19 and 185.32 is: 277.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.62 : 314.19 = 185.32 : x
  2. Step 2: Convert to fraction form
    209.62/314.19 = 185.32/x
  3. Step 3: Cross multiply
    209.62x = 314.19 × 185.32
  4. Step 4: Simplify right side
    209.62x = 58,225.69
  5. Step 5: Solve for x
    x = 58,225.69/209.62
  6. Step 6: Final answer
    x = 277.77

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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.