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Finding the Fourth Proportional to 334.96, 462.54 and 204.16

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Solution

The fourth proportional to 334.96, 462.54 and 204.16 is: 281.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.96 : 462.54 = 204.16 : x
  2. Step 2: Convert to fraction form
    334.96/462.54 = 204.16/x
  3. Step 3: Cross multiply
    334.96x = 462.54 × 204.16
  4. Step 4: Simplify right side
    334.96x = 94,432.17
  5. Step 5: Solve for x
    x = 94,432.17/334.96
  6. Step 6: Final answer
    x = 281.92

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Why These Related Problems?

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