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Finding the Fourth Proportional to 230.96, 319.08 and 153.68

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Solution

The fourth proportional to 230.96, 319.08 and 153.68 is: 212.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.96 : 319.08 = 153.68 : x
  2. Step 2: Convert to fraction form
    230.96/319.08 = 153.68/x
  3. Step 3: Cross multiply
    230.96x = 319.08 × 153.68
  4. Step 4: Simplify right side
    230.96x = 49,036.21
  5. Step 5: Solve for x
    x = 49,036.21/230.96
  6. Step 6: Final answer
    x = 212.31

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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.