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Finding the Fourth Proportional to 377.89, 566.88 and 134.35

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Solution

The fourth proportional to 377.89, 566.88 and 134.35 is: 201.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.89 : 566.88 = 134.35 : x
  2. Step 2: Convert to fraction form
    377.89/566.88 = 134.35/x
  3. Step 3: Cross multiply
    377.89x = 566.88 × 134.35
  4. Step 4: Simplify right side
    377.89x = 76,159.16
  5. Step 5: Solve for x
    x = 76,159.16/377.89
  6. Step 6: Final answer
    x = 201.54

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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.