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Finding the Fourth Proportional to 177.41, 266.47 and 109.06

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Solution

The fourth proportional to 177.41, 266.47 and 109.06 is: 163.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.41 : 266.47 = 109.06 : x
  2. Step 2: Convert to fraction form
    177.41/266.47 = 109.06/x
  3. Step 3: Cross multiply
    177.41x = 266.47 × 109.06
  4. Step 4: Simplify right side
    177.41x = 29,060.28
  5. Step 5: Solve for x
    x = 29,060.28/177.41
  6. Step 6: Final answer
    x = 163.80

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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.