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Finding the Fourth Proportional to 289.14, 398.88 and 184.26

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Solution

The fourth proportional to 289.14, 398.88 and 184.26 is: 254.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.14 : 398.88 = 184.26 : x
  2. Step 2: Convert to fraction form
    289.14/398.88 = 184.26/x
  3. Step 3: Cross multiply
    289.14x = 398.88 × 184.26
  4. Step 4: Simplify right side
    289.14x = 73,497.63
  5. Step 5: Solve for x
    x = 73,497.63/289.14
  6. Step 6: Final answer
    x = 254.19

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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.