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Finding the Fourth Proportional to 377.34, 565.88 and 204.14

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Solution

The fourth proportional to 377.34, 565.88 and 204.14 is: 306.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.34 : 565.88 = 204.14 : x
  2. Step 2: Convert to fraction form
    377.34/565.88 = 204.14/x
  3. Step 3: Cross multiply
    377.34x = 565.88 × 204.14
  4. Step 4: Simplify right side
    377.34x = 115,517.07
  5. Step 5: Solve for x
    x = 115,517.07/377.34
  6. Step 6: Final answer
    x = 306.13

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