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Finding the Fourth Proportional to 177.33, 266.03 and 67.63

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Solution

The fourth proportional to 177.33, 266.03 and 67.63 is: 101.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.33 : 266.03 = 67.63 : x
  2. Step 2: Convert to fraction form
    177.33/266.03 = 67.63/x
  3. Step 3: Cross multiply
    177.33x = 266.03 × 67.63
  4. Step 4: Simplify right side
    177.33x = 17,991.61
  5. Step 5: Solve for x
    x = 17,991.61/177.33
  6. Step 6: Final answer
    x = 101.46

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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.