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Finding the Fourth Proportional to 176.36, 242.04 and 161.78

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Solution

The fourth proportional to 176.36, 242.04 and 161.78 is: 222.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.36 : 242.04 = 161.78 : x
  2. Step 2: Convert to fraction form
    176.36/242.04 = 161.78/x
  3. Step 3: Cross multiply
    176.36x = 242.04 × 161.78
  4. Step 4: Simplify right side
    176.36x = 39,156.63
  5. Step 5: Solve for x
    x = 39,156.63/176.36
  6. Step 6: Final answer
    x = 222.03

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.