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Finding the Fourth Proportional to 209.85, 289.74 and 157.51

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Solution

The fourth proportional to 209.85, 289.74 and 157.51 is: 217.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.85 : 289.74 = 157.51 : x
  2. Step 2: Convert to fraction form
    209.85/289.74 = 157.51/x
  3. Step 3: Cross multiply
    209.85x = 289.74 × 157.51
  4. Step 4: Simplify right side
    209.85x = 45,634.71
  5. Step 5: Solve for x
    x = 45,634.71/209.85
  6. Step 6: Final answer
    x = 217.47

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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.