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Finding the Fourth Proportional to 317.55, 438.07 and 199.57

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Solution

The fourth proportional to 317.55, 438.07 and 199.57 is: 275.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.55 : 438.07 = 199.57 : x
  2. Step 2: Convert to fraction form
    317.55/438.07 = 199.57/x
  3. Step 3: Cross multiply
    317.55x = 438.07 × 199.57
  4. Step 4: Simplify right side
    317.55x = 87,425.63
  5. Step 5: Solve for x
    x = 87,425.63/317.55
  6. Step 6: Final answer
    x = 275.31

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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.