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Finding the Fourth Proportional to 177.26, 244.74 and 146.54

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Solution

The fourth proportional to 177.26, 244.74 and 146.54 is: 202.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.26 : 244.74 = 146.54 : x
  2. Step 2: Convert to fraction form
    177.26/244.74 = 146.54/x
  3. Step 3: Cross multiply
    177.26x = 244.74 × 146.54
  4. Step 4: Simplify right side
    177.26x = 35,864.20
  5. Step 5: Solve for x
    x = 35,864.20/177.26
  6. Step 6: Final answer
    x = 202.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.