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Finding the Fourth Proportional to 176.86, 266.21 and 160.09

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Solution

The fourth proportional to 176.86, 266.21 and 160.09 is: 240.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.86 : 266.21 = 160.09 : x
  2. Step 2: Convert to fraction form
    176.86/266.21 = 160.09/x
  3. Step 3: Cross multiply
    176.86x = 266.21 × 160.09
  4. Step 4: Simplify right side
    176.86x = 42,617.56
  5. Step 5: Solve for x
    x = 42,617.56/176.86
  6. Step 6: Final answer
    x = 240.97

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.