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Finding the Fourth Proportional to 154, 232.40 and 153.06

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Solution

The fourth proportional to 154, 232.40 and 153.06 is: 230.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    154 : 232.40 = 153.06 : x
  2. Step 2: Convert to fraction form
    154/232.40 = 153.06/x
  3. Step 3: Cross multiply
    154x = 232.40 × 153.06
  4. Step 4: Simplify right side
    154x = 35,571.14
  5. Step 5: Solve for x
    x = 35,571.14/154
  6. Step 6: Final answer
    x = 230.98

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.