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Finding the Fourth Proportional to 230.85, 318.25 and 157.04

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Solution

The fourth proportional to 230.85, 318.25 and 157.04 is: 216.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.85 : 318.25 = 157.04 : x
  2. Step 2: Convert to fraction form
    230.85/318.25 = 157.04/x
  3. Step 3: Cross multiply
    230.85x = 318.25 × 157.04
  4. Step 4: Simplify right side
    230.85x = 49,978.22
  5. Step 5: Solve for x
    x = 49,978.22/230.85
  6. Step 6: Final answer
    x = 216.50

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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.