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Finding the Fourth Proportional to 317.14, 437.65 and 177.27

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Solution

The fourth proportional to 317.14, 437.65 and 177.27 is: 244.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.14 : 437.65 = 177.27 : x
  2. Step 2: Convert to fraction form
    317.14/437.65 = 177.27/x
  3. Step 3: Cross multiply
    317.14x = 437.65 × 177.27
  4. Step 4: Simplify right side
    317.14x = 77,579.14
  5. Step 5: Solve for x
    x = 77,579.14/317.14
  6. Step 6: Final answer
    x = 244.62

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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.