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Finding the Fourth Proportional to 377.58, 566.44 and 204.14

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Solution

The fourth proportional to 377.58, 566.44 and 204.14 is: 306.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.58 : 566.44 = 204.14 : x
  2. Step 2: Convert to fraction form
    377.58/566.44 = 204.14/x
  3. Step 3: Cross multiply
    377.58x = 566.44 × 204.14
  4. Step 4: Simplify right side
    377.58x = 115,631.93
  5. Step 5: Solve for x
    x = 115,631.93/377.58
  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.