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Finding the Fourth Proportional to 245.75, 339.12 and 135.22

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Solution

The fourth proportional to 245.75, 339.12 and 135.22 is: 186.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.75 : 339.12 = 135.22 : x
  2. Step 2: Convert to fraction form
    245.75/339.12 = 135.22/x
  3. Step 3: Cross multiply
    245.75x = 339.12 × 135.22
  4. Step 4: Simplify right side
    245.75x = 45,853.43
  5. Step 5: Solve for x
    x = 45,853.43/245.75
  6. Step 6: Final answer
    x = 186.59

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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.