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Finding the Fourth Proportional to 377.96, 566.96 and 204.16

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Solution

The fourth proportional to 377.96, 566.96 and 204.16 is: 306.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.96 : 566.96 = 204.16 : x
  2. Step 2: Convert to fraction form
    377.96/566.96 = 204.16/x
  3. Step 3: Cross multiply
    377.96x = 566.96 × 204.16
  4. Step 4: Simplify right side
    377.96x = 115,750.55
  5. Step 5: Solve for x
    x = 115,750.55/377.96
  6. Step 6: Final answer
    x = 306.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.