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Finding the Fourth Proportional to 177.39, 264.69 and 164.61

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Solution

The fourth proportional to 177.39, 264.69 and 164.61 is: 245.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.39 : 264.69 = 164.61 : x
  2. Step 2: Convert to fraction form
    177.39/264.69 = 164.61/x
  3. Step 3: Cross multiply
    177.39x = 264.69 × 164.61
  4. Step 4: Simplify right side
    177.39x = 43,570.62
  5. Step 5: Solve for x
    x = 43,570.62/177.39
  6. Step 6: Final answer
    x = 245.62

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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.