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Finding the Fourth Proportional to 289.86, 399.97 and 158.86

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Solution

The fourth proportional to 289.86, 399.97 and 158.86 is: 219.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.86 : 399.97 = 158.86 : x
  2. Step 2: Convert to fraction form
    289.86/399.97 = 158.86/x
  3. Step 3: Cross multiply
    289.86x = 399.97 × 158.86
  4. Step 4: Simplify right side
    289.86x = 63,539.23
  5. Step 5: Solve for x
    x = 63,539.23/289.86
  6. Step 6: Final answer
    x = 219.21

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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.