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Finding the Fourth Proportional to 205.35, 283.23 and 152.15

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Solution

The fourth proportional to 205.35, 283.23 and 152.15 is: 209.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.35 : 283.23 = 152.15 : x
  2. Step 2: Convert to fraction form
    205.35/283.23 = 152.15/x
  3. Step 3: Cross multiply
    205.35x = 283.23 × 152.15
  4. Step 4: Simplify right side
    205.35x = 43,092.03
  5. Step 5: Solve for x
    x = 43,092.03/205.35
  6. Step 6: Final answer
    x = 209.85

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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.