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Finding the Fourth Proportional to 177, 265.64 and 116

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Solution

The fourth proportional to 177, 265.64 and 116 is: 174.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    177 : 265.64 = 116 : x
  2. Step 2: Convert to fraction form
    177/265.64 = 116/x
  3. Step 3: Cross multiply
    177x = 265.64 × 116
  4. Step 4: Simplify right side
    177x = 30,814.24
  5. Step 5: Solve for x
    x = 30,814.24/177
  6. Step 6: Final answer
    x = 174.09

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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.