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Finding the Fourth Proportional to 251.76, 376.88 and 154

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Solution

The fourth proportional to 251.76, 376.88 and 154 is: 230.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.76 : 376.88 = 154 : x
  2. Step 2: Convert to fraction form
    251.76/376.88 = 154/x
  3. Step 3: Cross multiply
    251.76x = 376.88 × 154
  4. Step 4: Simplify right side
    251.76x = 58,039.52
  5. Step 5: Solve for x
    x = 58,039.52/251.76
  6. Step 6: Final answer
    x = 230.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.