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Finding the Fourth Proportional to 317.63, 438.25 and 193.26

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Solution

The fourth proportional to 317.63, 438.25 and 193.26 is: 266.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.63 : 438.25 = 193.26 : x
  2. Step 2: Convert to fraction form
    317.63/438.25 = 193.26/x
  3. Step 3: Cross multiply
    317.63x = 438.25 × 193.26
  4. Step 4: Simplify right side
    317.63x = 84,696.20
  5. Step 5: Solve for x
    x = 84,696.20/317.63
  6. Step 6: Final answer
    x = 266.65

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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.