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Finding the Fourth Proportional to 376.54, 564.66 and 160

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Solution

The fourth proportional to 376.54, 564.66 and 160 is: 239.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.54 : 564.66 = 160 : x
  2. Step 2: Convert to fraction form
    376.54/564.66 = 160/x
  3. Step 3: Cross multiply
    376.54x = 564.66 × 160
  4. Step 4: Simplify right side
    376.54x = 90,345.60
  5. Step 5: Solve for x
    x = 90,345.60/376.54
  6. Step 6: Final answer
    x = 239.94

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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.