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Finding the Fourth Proportional to 177.98, 266.86 and 109.63

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Solution

The fourth proportional to 177.98, 266.86 and 109.63 is: 164.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.98 : 266.86 = 109.63 : x
  2. Step 2: Convert to fraction form
    177.98/266.86 = 109.63/x
  3. Step 3: Cross multiply
    177.98x = 266.86 × 109.63
  4. Step 4: Simplify right side
    177.98x = 29,256.33
  5. Step 5: Solve for x
    x = 29,256.33/177.98
  6. Step 6: Final answer
    x = 164.38

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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.