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Finding the Fourth Proportional to 205.56, 283.23 and 147.24

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Solution

The fourth proportional to 205.56, 283.23 and 147.24 is: 202.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.56 : 283.23 = 147.24 : x
  2. Step 2: Convert to fraction form
    205.56/283.23 = 147.24/x
  3. Step 3: Cross multiply
    205.56x = 283.23 × 147.24
  4. Step 4: Simplify right side
    205.56x = 41,702.79
  5. Step 5: Solve for x
    x = 41,702.79/205.56
  6. Step 6: Final answer
    x = 202.87

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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.