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Finding the Fourth Proportional to 376.13, 564.13 and 102.25

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Solution

The fourth proportional to 376.13, 564.13 and 102.25 is: 153.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.13 : 564.13 = 102.25 : x
  2. Step 2: Convert to fraction form
    376.13/564.13 = 102.25/x
  3. Step 3: Cross multiply
    376.13x = 564.13 × 102.25
  4. Step 4: Simplify right side
    376.13x = 57,680.24
  5. Step 5: Solve for x
    x = 57,680.24/376.13
  6. Step 6: Final answer
    x = 153.35

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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.