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Finding the Fourth Proportional to 376.12, 565.13 and 239.23

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Solution

The fourth proportional to 376.12, 565.13 and 239.23 is: 359.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.12 : 565.13 = 239.23 : x
  2. Step 2: Convert to fraction form
    376.12/565.13 = 239.23/x
  3. Step 3: Cross multiply
    376.12x = 565.13 × 239.23
  4. Step 4: Simplify right side
    376.12x = 135,196.05
  5. Step 5: Solve for x
    x = 135,196.05/376.12
  6. Step 6: Final answer
    x = 359.45

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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.