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Finding the Fourth Proportional to 378.04, 566.32 and 189.86

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Solution

The fourth proportional to 378.04, 566.32 and 189.86 is: 284.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.04 : 566.32 = 189.86 : x
  2. Step 2: Convert to fraction form
    378.04/566.32 = 189.86/x
  3. Step 3: Cross multiply
    378.04x = 566.32 × 189.86
  4. Step 4: Simplify right side
    378.04x = 107,521.52
  5. Step 5: Solve for x
    x = 107,521.52/378.04
  6. Step 6: Final answer
    x = 284.42

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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.