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Finding the Fourth Proportional to 176.75, 243.86 and 111.21

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Solution

The fourth proportional to 176.75, 243.86 and 111.21 is: 153.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.75 : 243.86 = 111.21 : x
  2. Step 2: Convert to fraction form
    176.75/243.86 = 111.21/x
  3. Step 3: Cross multiply
    176.75x = 243.86 × 111.21
  4. Step 4: Simplify right side
    176.75x = 27,119.11
  5. Step 5: Solve for x
    x = 27,119.11/176.75
  6. Step 6: Final answer
    x = 153.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.