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Finding the Fourth Proportional to 245.78, 339.16 and 135.23

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Solution

The fourth proportional to 245.78, 339.16 and 135.23 is: 186.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.78 : 339.16 = 135.23 : x
  2. Step 2: Convert to fraction form
    245.78/339.16 = 135.23/x
  3. Step 3: Cross multiply
    245.78x = 339.16 × 135.23
  4. Step 4: Simplify right side
    245.78x = 45,866.00
  5. Step 5: Solve for x
    x = 45,866.00/245.78
  6. Step 6: Final answer
    x = 186.61

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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.