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Finding the Fourth Proportional to 177.16, 265.21 and 122.20

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Solution

The fourth proportional to 177.16, 265.21 and 122.20 is: 182.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.16 : 265.21 = 122.20 : x
  2. Step 2: Convert to fraction form
    177.16/265.21 = 122.20/x
  3. Step 3: Cross multiply
    177.16x = 265.21 × 122.20
  4. Step 4: Simplify right side
    177.16x = 32,408.66
  5. Step 5: Solve for x
    x = 32,408.66/177.16
  6. Step 6: Final answer
    x = 182.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.