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Finding the Fourth Proportional to 317.25, 437.81 and 186.26

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Solution

The fourth proportional to 317.25, 437.81 and 186.26 is: 257.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.25 : 437.81 = 186.26 : x
  2. Step 2: Convert to fraction form
    317.25/437.81 = 186.26/x
  3. Step 3: Cross multiply
    317.25x = 437.81 × 186.26
  4. Step 4: Simplify right side
    317.25x = 81,543.37
  5. Step 5: Solve for x
    x = 81,543.37/317.25
  6. Step 6: Final answer
    x = 257.03

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