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Finding the Fourth Proportional to 289.13, 398.96 and 184.23

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Solution

The fourth proportional to 289.13, 398.96 and 184.23 is: 254.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.13 : 398.96 = 184.23 : x
  2. Step 2: Convert to fraction form
    289.13/398.96 = 184.23/x
  3. Step 3: Cross multiply
    289.13x = 398.96 × 184.23
  4. Step 4: Simplify right side
    289.13x = 73,499.48
  5. Step 5: Solve for x
    x = 73,499.48/289.13
  6. Step 6: Final answer
    x = 254.21

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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.