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Finding the Fourth Proportional to 245.23, 338.24 and 170.42

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Solution

The fourth proportional to 245.23, 338.24 and 170.42 is: 235.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.23 : 338.24 = 170.42 : x
  2. Step 2: Convert to fraction form
    245.23/338.24 = 170.42/x
  3. Step 3: Cross multiply
    245.23x = 338.24 × 170.42
  4. Step 4: Simplify right side
    245.23x = 57,641.60
  5. Step 5: Solve for x
    x = 57,641.60/245.23
  6. Step 6: Final answer
    x = 235.05

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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.