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Finding the Fourth Proportional to 205.77, 284.36 and 156.56

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Solution

The fourth proportional to 205.77, 284.36 and 156.56 is: 216.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.77 : 284.36 = 156.56 : x
  2. Step 2: Convert to fraction form
    205.77/284.36 = 156.56/x
  3. Step 3: Cross multiply
    205.77x = 284.36 × 156.56
  4. Step 4: Simplify right side
    205.77x = 44,517.20
  5. Step 5: Solve for x
    x = 44,517.20/205.77
  6. Step 6: Final answer
    x = 216.34

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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.