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Finding the Fourth Proportional to 287.22, 396.37 and 156.23

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Solution

The fourth proportional to 287.22, 396.37 and 156.23 is: 215.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.22 : 396.37 = 156.23 : x
  2. Step 2: Convert to fraction form
    287.22/396.37 = 156.23/x
  3. Step 3: Cross multiply
    287.22x = 396.37 × 156.23
  4. Step 4: Simplify right side
    287.22x = 61,923.11
  5. Step 5: Solve for x
    x = 61,923.11/287.22
  6. Step 6: Final answer
    x = 215.59

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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.