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Finding the Fourth Proportional to 177.30, 267.07 and 173.80

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Solution

The fourth proportional to 177.30, 267.07 and 173.80 is: 261.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.30 : 267.07 = 173.80 : x
  2. Step 2: Convert to fraction form
    177.30/267.07 = 173.80/x
  3. Step 3: Cross multiply
    177.30x = 267.07 × 173.80
  4. Step 4: Simplify right side
    177.30x = 46,416.77
  5. Step 5: Solve for x
    x = 46,416.77/177.30
  6. Step 6: Final answer
    x = 261.80

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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.