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Finding the Fourth Proportional to 316.97, 437.42 and 177.09

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Solution

The fourth proportional to 316.97, 437.42 and 177.09 is: 244.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.97 : 437.42 = 177.09 : x
  2. Step 2: Convert to fraction form
    316.97/437.42 = 177.09/x
  3. Step 3: Cross multiply
    316.97x = 437.42 × 177.09
  4. Step 4: Simplify right side
    316.97x = 77,461.82
  5. Step 5: Solve for x
    x = 77,461.82/316.97
  6. Step 6: Final answer
    x = 244.39

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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.