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Finding the Fourth Proportional to 209.85, 314.73 and 128.58

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Solution

The fourth proportional to 209.85, 314.73 and 128.58 is: 192.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.85 : 314.73 = 128.58 : x
  2. Step 2: Convert to fraction form
    209.85/314.73 = 128.58/x
  3. Step 3: Cross multiply
    209.85x = 314.73 × 128.58
  4. Step 4: Simplify right side
    209.85x = 40,467.98
  5. Step 5: Solve for x
    x = 40,467.98/209.85
  6. Step 6: Final answer
    x = 192.84

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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.