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Finding the Fourth Proportional to 176.54, 265.80 and 122.80

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Solution

The fourth proportional to 176.54, 265.80 and 122.80 is: 184.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.54 : 265.80 = 122.80 : x
  2. Step 2: Convert to fraction form
    176.54/265.80 = 122.80/x
  3. Step 3: Cross multiply
    176.54x = 265.80 × 122.80
  4. Step 4: Simplify right side
    176.54x = 32,640.24
  5. Step 5: Solve for x
    x = 32,640.24/176.54
  6. Step 6: Final answer
    x = 184.89

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.