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Finding the Fourth Proportional to 376.48, 564.11 and 156.92

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Solution

The fourth proportional to 376.48, 564.11 and 156.92 is: 235.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.48 : 564.11 = 156.92 : x
  2. Step 2: Convert to fraction form
    376.48/564.11 = 156.92/x
  3. Step 3: Cross multiply
    376.48x = 564.11 × 156.92
  4. Step 4: Simplify right side
    376.48x = 88,521.18
  5. Step 5: Solve for x
    x = 88,521.18/376.48
  6. Step 6: Final answer
    x = 235.13

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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.