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Finding the Fourth Proportional to 376.49, 564.37 and 145.20

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Solution

The fourth proportional to 376.49, 564.37 and 145.20 is: 217.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.49 : 564.37 = 145.20 : x
  2. Step 2: Convert to fraction form
    376.49/564.37 = 145.20/x
  3. Step 3: Cross multiply
    376.49x = 564.37 × 145.20
  4. Step 4: Simplify right side
    376.49x = 81,946.52
  5. Step 5: Solve for x
    x = 81,946.52/376.49
  6. Step 6: Final answer
    x = 217.66

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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.