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Finding the Fourth Proportional to 230.53, 317.97 and 147.74

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Solution

The fourth proportional to 230.53, 317.97 and 147.74 is: 203.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.53 : 317.97 = 147.74 : x
  2. Step 2: Convert to fraction form
    230.53/317.97 = 147.74/x
  3. Step 3: Cross multiply
    230.53x = 317.97 × 147.74
  4. Step 4: Simplify right side
    230.53x = 46,976.89
  5. Step 5: Solve for x
    x = 46,976.89/230.53
  6. Step 6: Final answer
    x = 203.78

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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.