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Finding the Fourth Proportional to 262.80, 362.55 and 164.40

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Solution

The fourth proportional to 262.80, 362.55 and 164.40 is: 226.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.80 : 362.55 = 164.40 : x
  2. Step 2: Convert to fraction form
    262.80/362.55 = 164.40/x
  3. Step 3: Cross multiply
    262.80x = 362.55 × 164.40
  4. Step 4: Simplify right side
    262.80x = 59,603.22
  5. Step 5: Solve for x
    x = 59,603.22/262.80
  6. Step 6: Final answer
    x = 226.80

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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.