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Finding the Fourth Proportional to 164.54, 244.06 and 162.11

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Solution

The fourth proportional to 164.54, 244.06 and 162.11 is: 240.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.54 : 244.06 = 162.11 : x
  2. Step 2: Convert to fraction form
    164.54/244.06 = 162.11/x
  3. Step 3: Cross multiply
    164.54x = 244.06 × 162.11
  4. Step 4: Simplify right side
    164.54x = 39,564.77
  5. Step 5: Solve for x
    x = 39,564.77/164.54
  6. Step 6: Final answer
    x = 240.45

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.