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Finding the Fourth Proportional to 278.23, 383.78 and 178.67

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Solution

The fourth proportional to 278.23, 383.78 and 178.67 is: 246.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.23 : 383.78 = 178.67 : x
  2. Step 2: Convert to fraction form
    278.23/383.78 = 178.67/x
  3. Step 3: Cross multiply
    278.23x = 383.78 × 178.67
  4. Step 4: Simplify right side
    278.23x = 68,569.97
  5. Step 5: Solve for x
    x = 68,569.97/278.23
  6. Step 6: Final answer
    x = 246.45

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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.