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Finding the Fourth Proportional to 176.44, 243.40 and 110.92

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Solution

The fourth proportional to 176.44, 243.40 and 110.92 is: 153.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.44 : 243.40 = 110.92 : x
  2. Step 2: Convert to fraction form
    176.44/243.40 = 110.92/x
  3. Step 3: Cross multiply
    176.44x = 243.40 × 110.92
  4. Step 4: Simplify right side
    176.44x = 26,997.93
  5. Step 5: Solve for x
    x = 26,997.93/176.44
  6. Step 6: Final answer
    x = 153.01

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Why These Related Problems?

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