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Finding the Fourth Proportional to 205.58, 283.70 and 112.31

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Solution

The fourth proportional to 205.58, 283.70 and 112.31 is: 154.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.58 : 283.70 = 112.31 : x
  2. Step 2: Convert to fraction form
    205.58/283.70 = 112.31/x
  3. Step 3: Cross multiply
    205.58x = 283.70 × 112.31
  4. Step 4: Simplify right side
    205.58x = 31,862.28
  5. Step 5: Solve for x
    x = 31,862.28/205.58
  6. Step 6: Final answer
    x = 154.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.