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Finding the Fourth Proportional to 316.93, 437.43 and 177.09

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Solution

The fourth proportional to 316.93, 437.43 and 177.09 is: 244.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.93 : 437.43 = 177.09 : x
  2. Step 2: Convert to fraction form
    316.93/437.43 = 177.09/x
  3. Step 3: Cross multiply
    316.93x = 437.43 × 177.09
  4. Step 4: Simplify right side
    316.93x = 77,464.48
  5. Step 5: Solve for x
    x = 77,464.48/316.93
  6. Step 6: Final answer
    x = 244.42

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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.