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Finding the Fourth Proportional to 177.63, 266.63 and 126.33

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Solution

The fourth proportional to 177.63, 266.63 and 126.33 is: 189.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.63 : 266.63 = 126.33 : x
  2. Step 2: Convert to fraction form
    177.63/266.63 = 126.33/x
  3. Step 3: Cross multiply
    177.63x = 266.63 × 126.33
  4. Step 4: Simplify right side
    177.63x = 33,682.74
  5. Step 5: Solve for x
    x = 33,682.74/177.63
  6. Step 6: Final answer
    x = 189.62

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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.