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Finding the Fourth Proportional to 204.95, 283.06 and 158.88

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Solution

The fourth proportional to 204.95, 283.06 and 158.88 is: 219.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.95 : 283.06 = 158.88 : x
  2. Step 2: Convert to fraction form
    204.95/283.06 = 158.88/x
  3. Step 3: Cross multiply
    204.95x = 283.06 × 158.88
  4. Step 4: Simplify right side
    204.95x = 44,973.19
  5. Step 5: Solve for x
    x = 44,973.19/204.95
  6. Step 6: Final answer
    x = 219.43

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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.