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Finding the Fourth Proportional to 205.50, 283.59 and 113.50

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Solution

The fourth proportional to 205.50, 283.59 and 113.50 is: 156.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.50 : 283.59 = 113.50 : x
  2. Step 2: Convert to fraction form
    205.50/283.59 = 113.50/x
  3. Step 3: Cross multiply
    205.50x = 283.59 × 113.50
  4. Step 4: Simplify right side
    205.50x = 32,187.47
  5. Step 5: Solve for x
    x = 32,187.47/205.50
  6. Step 6: Final answer
    x = 156.63

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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.