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Finding the Fourth Proportional to 176.96, 244.34 and 114.83

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Solution

The fourth proportional to 176.96, 244.34 and 114.83 is: 158.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.96 : 244.34 = 114.83 : x
  2. Step 2: Convert to fraction form
    176.96/244.34 = 114.83/x
  3. Step 3: Cross multiply
    176.96x = 244.34 × 114.83
  4. Step 4: Simplify right side
    176.96x = 28,057.60
  5. Step 5: Solve for x
    x = 28,057.60/176.96
  6. Step 6: Final answer
    x = 158.55

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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.