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Finding the Fourth Proportional to 245.94, 368.28 and 164.52

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Solution

The fourth proportional to 245.94, 368.28 and 164.52 is: 246.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.94 : 368.28 = 164.52 : x
  2. Step 2: Convert to fraction form
    245.94/368.28 = 164.52/x
  3. Step 3: Cross multiply
    245.94x = 368.28 × 164.52
  4. Step 4: Simplify right side
    245.94x = 60,589.43
  5. Step 5: Solve for x
    x = 60,589.43/245.94
  6. Step 6: Final answer
    x = 246.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.