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Finding the Fourth Proportional to 377.65, 566.52 and 134.20

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Solution

The fourth proportional to 377.65, 566.52 and 134.20 is: 201.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.65 : 566.52 = 134.20 : x
  2. Step 2: Convert to fraction form
    377.65/566.52 = 134.20/x
  3. Step 3: Cross multiply
    377.65x = 566.52 × 134.20
  4. Step 4: Simplify right side
    377.65x = 76,026.98
  5. Step 5: Solve for x
    x = 76,026.98/377.65
  6. Step 6: Final answer
    x = 201.32

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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.