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Finding the Fourth Proportional to 245.94, 339.42 and 158.64

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Solution

The fourth proportional to 245.94, 339.42 and 158.64 is: 218.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.94 : 339.42 = 158.64 : x
  2. Step 2: Convert to fraction form
    245.94/339.42 = 158.64/x
  3. Step 3: Cross multiply
    245.94x = 339.42 × 158.64
  4. Step 4: Simplify right side
    245.94x = 53,845.59
  5. Step 5: Solve for x
    x = 53,845.59/245.94
  6. Step 6: Final answer
    x = 218.94

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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.