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Finding the Fourth Proportional to 278.68, 384.60 and 162.26

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Solution

The fourth proportional to 278.68, 384.60 and 162.26 is: 223.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.68 : 384.60 = 162.26 : x
  2. Step 2: Convert to fraction form
    278.68/384.60 = 162.26/x
  3. Step 3: Cross multiply
    278.68x = 384.60 × 162.26
  4. Step 4: Simplify right side
    278.68x = 62,405.20
  5. Step 5: Solve for x
    x = 62,405.20/278.68
  6. Step 6: Final answer
    x = 223.93

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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.