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Finding the Fourth Proportional to 289.41, 398.91 and 178.64

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Solution

The fourth proportional to 289.41, 398.91 and 178.64 is: 246.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.41 : 398.91 = 178.64 : x
  2. Step 2: Convert to fraction form
    289.41/398.91 = 178.64/x
  3. Step 3: Cross multiply
    289.41x = 398.91 × 178.64
  4. Step 4: Simplify right side
    289.41x = 71,261.28
  5. Step 5: Solve for x
    x = 71,261.28/289.41
  6. Step 6: Final answer
    x = 246.23

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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.