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Finding the Fourth Proportional to 177.74, 266.81 and 104.77

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Solution

The fourth proportional to 177.74, 266.81 and 104.77 is: 157.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.74 : 266.81 = 104.77 : x
  2. Step 2: Convert to fraction form
    177.74/266.81 = 104.77/x
  3. Step 3: Cross multiply
    177.74x = 266.81 × 104.77
  4. Step 4: Simplify right side
    177.74x = 27,952.49
  5. Step 5: Solve for x
    x = 27,952.49/177.74
  6. Step 6: Final answer
    x = 157.27

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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.