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Finding the Fourth Proportional to 154.63, 230.86 and 130.33

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Solution

The fourth proportional to 154.63, 230.86 and 130.33 is: 194.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.63 : 230.86 = 130.33 : x
  2. Step 2: Convert to fraction form
    154.63/230.86 = 130.33/x
  3. Step 3: Cross multiply
    154.63x = 230.86 × 130.33
  4. Step 4: Simplify right side
    154.63x = 30,087.98
  5. Step 5: Solve for x
    x = 30,087.98/154.63
  6. Step 6: Final answer
    x = 194.58

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.