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Finding the Fourth Proportional to 377.86, 566.63 and 224.10

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Solution

The fourth proportional to 377.86, 566.63 and 224.10 is: 336.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.86 : 566.63 = 224.10 : x
  2. Step 2: Convert to fraction form
    377.86/566.63 = 224.10/x
  3. Step 3: Cross multiply
    377.86x = 566.63 × 224.10
  4. Step 4: Simplify right side
    377.86x = 126,977.83
  5. Step 5: Solve for x
    x = 126,977.83/377.86
  6. Step 6: Final answer
    x = 336.04

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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.