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Finding the Fourth Proportional to 378.95, 568.39 and 105.07

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Solution

The fourth proportional to 378.95, 568.39 and 105.07 is: 157.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.95 : 568.39 = 105.07 : x
  2. Step 2: Convert to fraction form
    378.95/568.39 = 105.07/x
  3. Step 3: Cross multiply
    378.95x = 568.39 × 105.07
  4. Step 4: Simplify right side
    378.95x = 59,720.74
  5. Step 5: Solve for x
    x = 59,720.74/378.95
  6. Step 6: Final answer
    x = 157.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.