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Finding the Fourth Proportional to 377.54, 566.29 and 134.05

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Solution

The fourth proportional to 377.54, 566.29 and 134.05 is: 201.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.54 : 566.29 = 134.05 : x
  2. Step 2: Convert to fraction form
    377.54/566.29 = 134.05/x
  3. Step 3: Cross multiply
    377.54x = 566.29 × 134.05
  4. Step 4: Simplify right side
    377.54x = 75,911.17
  5. Step 5: Solve for x
    x = 75,911.17/377.54
  6. Step 6: Final answer
    x = 201.07

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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.