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Finding the Fourth Proportional to 289.13, 398.99 and 171.10

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Solution

The fourth proportional to 289.13, 398.99 and 171.10 is: 236.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.13 : 398.99 = 171.10 : x
  2. Step 2: Convert to fraction form
    289.13/398.99 = 171.10/x
  3. Step 3: Cross multiply
    289.13x = 398.99 × 171.10
  4. Step 4: Simplify right side
    289.13x = 68,268.61
  5. Step 5: Solve for x
    x = 68,268.61/289.13
  6. Step 6: Final answer
    x = 236.12

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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.