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Finding the Fourth Proportional to 335.14, 462.60 and 204.16

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Solution

The fourth proportional to 335.14, 462.60 and 204.16 is: 281.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.14 : 462.60 = 204.16 : x
  2. Step 2: Convert to fraction form
    335.14/462.60 = 204.16/x
  3. Step 3: Cross multiply
    335.14x = 462.60 × 204.16
  4. Step 4: Simplify right side
    335.14x = 94,444.42
  5. Step 5: Solve for x
    x = 94,444.42/335.14
  6. Step 6: Final answer
    x = 281.81

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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.