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Finding the Fourth Proportional to 176.10, 243.06 and 120.82

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Solution

The fourth proportional to 176.10, 243.06 and 120.82 is: 166.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.10 : 243.06 = 120.82 : x
  2. Step 2: Convert to fraction form
    176.10/243.06 = 120.82/x
  3. Step 3: Cross multiply
    176.10x = 243.06 × 120.82
  4. Step 4: Simplify right side
    176.10x = 29,366.51
  5. Step 5: Solve for x
    x = 29,366.51/176.10
  6. Step 6: Final answer
    x = 166.76

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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.