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Finding the Fourth Proportional to 378.19, 565.97 and 231.88

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Solution

The fourth proportional to 378.19, 565.97 and 231.88 is: 347.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.19 : 565.97 = 231.88 : x
  2. Step 2: Convert to fraction form
    378.19/565.97 = 231.88/x
  3. Step 3: Cross multiply
    378.19x = 565.97 × 231.88
  4. Step 4: Simplify right side
    378.19x = 131,237.12
  5. Step 5: Solve for x
    x = 131,237.12/378.19
  6. Step 6: Final answer
    x = 347.01

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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.