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Finding the Fourth Proportional to 268.53, 370.50 and 157.95

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Solution

The fourth proportional to 268.53, 370.50 and 157.95 is: 217.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.53 : 370.50 = 157.95 : x
  2. Step 2: Convert to fraction form
    268.53/370.50 = 157.95/x
  3. Step 3: Cross multiply
    268.53x = 370.50 × 157.95
  4. Step 4: Simplify right side
    268.53x = 58,520.48
  5. Step 5: Solve for x
    x = 58,520.48/268.53
  6. Step 6: Final answer
    x = 217.93

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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.