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Finding the Fourth Proportional to 287.14, 396.25 and 156.14

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Solution

The fourth proportional to 287.14, 396.25 and 156.14 is: 215.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.14 : 396.25 = 156.14 : x
  2. Step 2: Convert to fraction form
    287.14/396.25 = 156.14/x
  3. Step 3: Cross multiply
    287.14x = 396.25 × 156.14
  4. Step 4: Simplify right side
    287.14x = 61,872.35
  5. Step 5: Solve for x
    x = 61,872.35/287.14
  6. Step 6: Final answer
    x = 215.48

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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.