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Finding the Fourth Proportional to 278.54, 384.32 and 162.03

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Solution

The fourth proportional to 278.54, 384.32 and 162.03 is: 223.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.54 : 384.32 = 162.03 : x
  2. Step 2: Convert to fraction form
    278.54/384.32 = 162.03/x
  3. Step 3: Cross multiply
    278.54x = 384.32 × 162.03
  4. Step 4: Simplify right side
    278.54x = 62,271.37
  5. Step 5: Solve for x
    x = 62,271.37/278.54
  6. Step 6: Final answer
    x = 223.56

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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.