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Finding the Fourth Proportional to 245.98, 368.28 and 164.66

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Solution

The fourth proportional to 245.98, 368.28 and 164.66 is: 246.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.98 : 368.28 = 164.66 : x
  2. Step 2: Convert to fraction form
    245.98/368.28 = 164.66/x
  3. Step 3: Cross multiply
    245.98x = 368.28 × 164.66
  4. Step 4: Simplify right side
    245.98x = 60,640.98
  5. Step 5: Solve for x
    x = 60,640.98/245.98
  6. Step 6: Final answer
    x = 246.53

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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.