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Finding the Fourth Proportional to 237.85, 357.41 and 203.25

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Solution

The fourth proportional to 237.85, 357.41 and 203.25 is: 305.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.85 : 357.41 = 203.25 : x
  2. Step 2: Convert to fraction form
    237.85/357.41 = 203.25/x
  3. Step 3: Cross multiply
    237.85x = 357.41 × 203.25
  4. Step 4: Simplify right side
    237.85x = 72,643.58
  5. Step 5: Solve for x
    x = 72,643.58/237.85
  6. Step 6: Final answer
    x = 305.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.