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Finding the Fourth Proportional to 376.12, 564.06 and 202.54

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Solution

The fourth proportional to 376.12, 564.06 and 202.54 is: 303.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.12 : 564.06 = 202.54 : x
  2. Step 2: Convert to fraction form
    376.12/564.06 = 202.54/x
  3. Step 3: Cross multiply
    376.12x = 564.06 × 202.54
  4. Step 4: Simplify right side
    376.12x = 114,244.71
  5. Step 5: Solve for x
    x = 114,244.71/376.12
  6. Step 6: Final answer
    x = 303.75

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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.