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Finding the Fourth Proportional to 178.09, 245.75 and 122.90

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Solution

The fourth proportional to 178.09, 245.75 and 122.90 is: 169.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.09 : 245.75 = 122.90 : x
  2. Step 2: Convert to fraction form
    178.09/245.75 = 122.90/x
  3. Step 3: Cross multiply
    178.09x = 245.75 × 122.90
  4. Step 4: Simplify right side
    178.09x = 30,200.83
  5. Step 5: Solve for x
    x = 30,200.83/178.09
  6. Step 6: Final answer
    x = 169.58

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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.