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Finding the Fourth Proportional to 378.12, 566.87 and 134.81

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Solution

The fourth proportional to 378.12, 566.87 and 134.81 is: 202.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.12 : 566.87 = 134.81 : x
  2. Step 2: Convert to fraction form
    378.12/566.87 = 134.81/x
  3. Step 3: Cross multiply
    378.12x = 566.87 × 134.81
  4. Step 4: Simplify right side
    378.12x = 76,416.24
  5. Step 5: Solve for x
    x = 76,416.24/378.12
  6. Step 6: Final answer
    x = 202.10

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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.