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Finding the Fourth Proportional to 154, 229.46 and 146.08

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Solution

The fourth proportional to 154, 229.46 and 146.08 is: 217.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    154 : 229.46 = 146.08 : x
  2. Step 2: Convert to fraction form
    154/229.46 = 146.08/x
  3. Step 3: Cross multiply
    154x = 229.46 × 146.08
  4. Step 4: Simplify right side
    154x = 33,519.52
  5. Step 5: Solve for x
    x = 33,519.52/154
  6. Step 6: Final answer
    x = 217.66

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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.