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Finding the Fourth Proportional to 242.15, 333.86 and 204.74

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Solution

The fourth proportional to 242.15, 333.86 and 204.74 is: 282.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.15 : 333.86 = 204.74 : x
  2. Step 2: Convert to fraction form
    242.15/333.86 = 204.74/x
  3. Step 3: Cross multiply
    242.15x = 333.86 × 204.74
  4. Step 4: Simplify right side
    242.15x = 68,351.80
  5. Step 5: Solve for x
    x = 68,351.80/242.15
  6. Step 6: Final answer
    x = 282.28

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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.