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Finding the Fourth Proportional to 412.23, 618.47 and 178.09

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Solution

The fourth proportional to 412.23, 618.47 and 178.09 is: 267.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.23 : 618.47 = 178.09 : x
  2. Step 2: Convert to fraction form
    412.23/618.47 = 178.09/x
  3. Step 3: Cross multiply
    412.23x = 618.47 × 178.09
  4. Step 4: Simplify right side
    412.23x = 110,143.77
  5. Step 5: Solve for x
    x = 110,143.77/412.23
  6. Step 6: Final answer
    x = 267.19

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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.