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Finding the Fourth Proportional to 378.83, 568.16 and 104.91

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Solution

The fourth proportional to 378.83, 568.16 and 104.91 is: 157.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.83 : 568.16 = 104.91 : x
  2. Step 2: Convert to fraction form
    378.83/568.16 = 104.91/x
  3. Step 3: Cross multiply
    378.83x = 568.16 × 104.91
  4. Step 4: Simplify right side
    378.83x = 59,605.14
  5. Step 5: Solve for x
    x = 59,605.14/378.83
  6. Step 6: Final answer
    x = 157.34

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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.