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Finding the Fourth Proportional to 262.02, 392.25 and 164.20

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Solution

The fourth proportional to 262.02, 392.25 and 164.20 is: 245.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.02 : 392.25 = 164.20 : x
  2. Step 2: Convert to fraction form
    262.02/392.25 = 164.20/x
  3. Step 3: Cross multiply
    262.02x = 392.25 × 164.20
  4. Step 4: Simplify right side
    262.02x = 64,407.09
  5. Step 5: Solve for x
    x = 64,407.09/262.02
  6. Step 6: Final answer
    x = 245.81

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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.