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Finding the Fourth Proportional to 378.60, 568.02 and 135.06

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Solution

The fourth proportional to 378.60, 568.02 and 135.06 is: 202.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.60 : 568.02 = 135.06 : x
  2. Step 2: Convert to fraction form
    378.60/568.02 = 135.06/x
  3. Step 3: Cross multiply
    378.60x = 568.02 × 135.06
  4. Step 4: Simplify right side
    378.60x = 76,716.78
  5. Step 5: Solve for x
    x = 76,716.78/378.60
  6. Step 6: Final answer
    x = 202.63

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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.