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Finding the Fourth Proportional to 177.21, 264.44 and 175.86

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Solution

The fourth proportional to 177.21, 264.44 and 175.86 is: 262.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.21 : 264.44 = 175.86 : x
  2. Step 2: Convert to fraction form
    177.21/264.44 = 175.86/x
  3. Step 3: Cross multiply
    177.21x = 264.44 × 175.86
  4. Step 4: Simplify right side
    177.21x = 46,504.86
  5. Step 5: Solve for x
    x = 46,504.86/177.21
  6. Step 6: Final answer
    x = 262.43

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.