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Finding the Fourth Proportional to 245.36, 368.36 and 164.56

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Solution

The fourth proportional to 245.36, 368.36 and 164.56 is: 247.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.36 : 368.36 = 164.56 : x
  2. Step 2: Convert to fraction form
    245.36/368.36 = 164.56/x
  3. Step 3: Cross multiply
    245.36x = 368.36 × 164.56
  4. Step 4: Simplify right side
    245.36x = 60,616.50
  5. Step 5: Solve for x
    x = 60,616.50/245.36
  6. Step 6: Final answer
    x = 247.05

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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.