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Finding the Fourth Proportional to 376.63, 564.94 and 120.13

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Solution

The fourth proportional to 376.63, 564.94 and 120.13 is: 180.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.63 : 564.94 = 120.13 : x
  2. Step 2: Convert to fraction form
    376.63/564.94 = 120.13/x
  3. Step 3: Cross multiply
    376.63x = 564.94 × 120.13
  4. Step 4: Simplify right side
    376.63x = 67,866.24
  5. Step 5: Solve for x
    x = 67,866.24/376.63
  6. Step 6: Final answer
    x = 180.19

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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.