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Finding the Fourth Proportional to 230.12, 317.60 and 156.48

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Solution

The fourth proportional to 230.12, 317.60 and 156.48 is: 215.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.12 : 317.60 = 156.48 : x
  2. Step 2: Convert to fraction form
    230.12/317.60 = 156.48/x
  3. Step 3: Cross multiply
    230.12x = 317.60 × 156.48
  4. Step 4: Simplify right side
    230.12x = 49,698.05
  5. Step 5: Solve for x
    x = 49,698.05/230.12
  6. Step 6: Final answer
    x = 215.97

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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.