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Finding the Fourth Proportional to 262.50, 362.14 and 164.08

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Solution

The fourth proportional to 262.50, 362.14 and 164.08 is: 226.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.50 : 362.14 = 164.08 : x
  2. Step 2: Convert to fraction form
    262.50/362.14 = 164.08/x
  3. Step 3: Cross multiply
    262.50x = 362.14 × 164.08
  4. Step 4: Simplify right side
    262.50x = 59,419.93
  5. Step 5: Solve for x
    x = 59,419.93/262.50
  6. Step 6: Final answer
    x = 226.36

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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.