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Finding the Fourth Proportional to 209.62, 314.17 and 148.77

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Solution

The fourth proportional to 209.62, 314.17 and 148.77 is: 222.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.62 : 314.17 = 148.77 : x
  2. Step 2: Convert to fraction form
    209.62/314.17 = 148.77/x
  3. Step 3: Cross multiply
    209.62x = 314.17 × 148.77
  4. Step 4: Simplify right side
    209.62x = 46,736.76
  5. Step 5: Solve for x
    x = 46,736.76/209.62
  6. Step 6: Final answer
    x = 222.96

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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.