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Finding the Fourth Proportional to 287.23, 396.38 and 156.24

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Solution

The fourth proportional to 287.23, 396.38 and 156.24 is: 215.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.23 : 396.38 = 156.24 : x
  2. Step 2: Convert to fraction form
    287.23/396.38 = 156.24/x
  3. Step 3: Cross multiply
    287.23x = 396.38 × 156.24
  4. Step 4: Simplify right side
    287.23x = 61,928.43
  5. Step 5: Solve for x
    x = 61,928.43/287.23
  6. Step 6: Final answer
    x = 215.61

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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.