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Finding the Fourth Proportional to 376.34, 564.46 and 102.46

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Solution

The fourth proportional to 376.34, 564.46 and 102.46 is: 153.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.34 : 564.46 = 102.46 : x
  2. Step 2: Convert to fraction form
    376.34/564.46 = 102.46/x
  3. Step 3: Cross multiply
    376.34x = 564.46 × 102.46
  4. Step 4: Simplify right side
    376.34x = 57,832.90
  5. Step 5: Solve for x
    x = 57,832.90/376.34
  6. Step 6: Final answer
    x = 153.67

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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.