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Finding the Fourth Proportional to 289.05, 398.91 and 158.06

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Solution

The fourth proportional to 289.05, 398.91 and 158.06 is: 218.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.05 : 398.91 = 158.06 : x
  2. Step 2: Convert to fraction form
    289.05/398.91 = 158.06/x
  3. Step 3: Cross multiply
    289.05x = 398.91 × 158.06
  4. Step 4: Simplify right side
    289.05x = 63,052.42
  5. Step 5: Solve for x
    x = 63,052.42/289.05
  6. Step 6: Final answer
    x = 218.14

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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.