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Finding the Fourth Proportional to 278.50, 384.34 and 162.06

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Solution

The fourth proportional to 278.50, 384.34 and 162.06 is: 223.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.50 : 384.34 = 162.06 : x
  2. Step 2: Convert to fraction form
    278.50/384.34 = 162.06/x
  3. Step 3: Cross multiply
    278.50x = 384.34 × 162.06
  4. Step 4: Simplify right side
    278.50x = 62,286.14
  5. Step 5: Solve for x
    x = 62,286.14/278.50
  6. Step 6: Final answer
    x = 223.65

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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.