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Finding the Fourth Proportional to 178.32, 245.78 and 162.83

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Solution

The fourth proportional to 178.32, 245.78 and 162.83 is: 224.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.32 : 245.78 = 162.83 : x
  2. Step 2: Convert to fraction form
    178.32/245.78 = 162.83/x
  3. Step 3: Cross multiply
    178.32x = 245.78 × 162.83
  4. Step 4: Simplify right side
    178.32x = 40,020.36
  5. Step 5: Solve for x
    x = 40,020.36/178.32
  6. Step 6: Final answer
    x = 224.43

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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.