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Finding the Fourth Proportional to 177.75, 266.42 and 75.02

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Solution

The fourth proportional to 177.75, 266.42 and 75.02 is: 112.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.75 : 266.42 = 75.02 : x
  2. Step 2: Convert to fraction form
    177.75/266.42 = 75.02/x
  3. Step 3: Cross multiply
    177.75x = 266.42 × 75.02
  4. Step 4: Simplify right side
    177.75x = 19,985.12
  5. Step 5: Solve for x
    x = 19,985.12/177.75
  6. Step 6: Final answer
    x = 112.43

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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.