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Finding the Fourth Proportional to 177.63, 266.44 and 47.63

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Solution

The fourth proportional to 177.63, 266.44 and 47.63 is: 71.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.63 : 266.44 = 47.63 : x
  2. Step 2: Convert to fraction form
    177.63/266.44 = 47.63/x
  3. Step 3: Cross multiply
    177.63x = 266.44 × 47.63
  4. Step 4: Simplify right side
    177.63x = 12,690.54
  5. Step 5: Solve for x
    x = 12,690.54/177.63
  6. Step 6: Final answer
    x = 71.44

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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.