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Finding the Fourth Proportional to 287.64, 396.99 and 171.24

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Solution

The fourth proportional to 287.64, 396.99 and 171.24 is: 236.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.64 : 396.99 = 171.24 : x
  2. Step 2: Convert to fraction form
    287.64/396.99 = 171.24/x
  3. Step 3: Cross multiply
    287.64x = 396.99 × 171.24
  4. Step 4: Simplify right side
    287.64x = 67,980.57
  5. Step 5: Solve for x
    x = 67,980.57/287.64
  6. Step 6: Final answer
    x = 236.34

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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.