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Finding the Fourth Proportional to 378.05, 566.93 and 134.53

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Solution

The fourth proportional to 378.05, 566.93 and 134.53 is: 201.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.05 : 566.93 = 134.53 : x
  2. Step 2: Convert to fraction form
    378.05/566.93 = 134.53/x
  3. Step 3: Cross multiply
    378.05x = 566.93 × 134.53
  4. Step 4: Simplify right side
    378.05x = 76,268.01
  5. Step 5: Solve for x
    x = 76,268.01/378.05
  6. Step 6: Final answer
    x = 201.74

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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.