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Finding the Fourth Proportional to 205.45, 283.65 and 158.74

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Solution

The fourth proportional to 205.45, 283.65 and 158.74 is: 219.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.45 : 283.65 = 158.74 : x
  2. Step 2: Convert to fraction form
    205.45/283.65 = 158.74/x
  3. Step 3: Cross multiply
    205.45x = 283.65 × 158.74
  4. Step 4: Simplify right side
    205.45x = 45,026.60
  5. Step 5: Solve for x
    x = 45,026.60/205.45
  6. Step 6: Final answer
    x = 219.16

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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.