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Finding the Fourth Proportional to 376.54, 564.64 and 160.09

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Solution

The fourth proportional to 376.54, 564.64 and 160.09 is: 240.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.54 : 564.64 = 160.09 : x
  2. Step 2: Convert to fraction form
    376.54/564.64 = 160.09/x
  3. Step 3: Cross multiply
    376.54x = 564.64 × 160.09
  4. Step 4: Simplify right side
    376.54x = 90,393.22
  5. Step 5: Solve for x
    x = 90,393.22/376.54
  6. Step 6: Final answer
    x = 240.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.