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Finding the Fourth Proportional to 209.98, 289.83 and 127.11

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Solution

The fourth proportional to 209.98, 289.83 and 127.11 is: 175.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.98 : 289.83 = 127.11 : x
  2. Step 2: Convert to fraction form
    209.98/289.83 = 127.11/x
  3. Step 3: Cross multiply
    209.98x = 289.83 × 127.11
  4. Step 4: Simplify right side
    209.98x = 36,840.29
  5. Step 5: Solve for x
    x = 36,840.29/209.98
  6. Step 6: Final answer
    x = 175.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.