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Finding the Fourth Proportional to 262.29, 393.32 and 164.90

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Solution

The fourth proportional to 262.29, 393.32 and 164.90 is: 247.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.29 : 393.32 = 164.90 : x
  2. Step 2: Convert to fraction form
    262.29/393.32 = 164.90/x
  3. Step 3: Cross multiply
    262.29x = 393.32 × 164.90
  4. Step 4: Simplify right side
    262.29x = 64,857.51
  5. Step 5: Solve for x
    x = 64,857.51/262.29
  6. Step 6: Final answer
    x = 247.28

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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.