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Finding the Fourth Proportional to 204.85, 283.06 and 152.61

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Solution

The fourth proportional to 204.85, 283.06 and 152.61 is: 210.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.85 : 283.06 = 152.61 : x
  2. Step 2: Convert to fraction form
    204.85/283.06 = 152.61/x
  3. Step 3: Cross multiply
    204.85x = 283.06 × 152.61
  4. Step 4: Simplify right side
    204.85x = 43,197.79
  5. Step 5: Solve for x
    x = 43,197.79/204.85
  6. Step 6: Final answer
    x = 210.88

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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.