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Finding the Fourth Proportional to 289.13, 399.02 and 158.15

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Solution

The fourth proportional to 289.13, 399.02 and 158.15 is: 218.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.13 : 399.02 = 158.15 : x
  2. Step 2: Convert to fraction form
    289.13/399.02 = 158.15/x
  3. Step 3: Cross multiply
    289.13x = 399.02 × 158.15
  4. Step 4: Simplify right side
    289.13x = 63,105.01
  5. Step 5: Solve for x
    x = 63,105.01/289.13
  6. Step 6: Final answer
    x = 218.26

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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.