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Finding the Fourth Proportional to 262.35, 393.15 and 164.62

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Solution

The fourth proportional to 262.35, 393.15 and 164.62 is: 246.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.35 : 393.15 = 164.62 : x
  2. Step 2: Convert to fraction form
    262.35/393.15 = 164.62/x
  3. Step 3: Cross multiply
    262.35x = 393.15 × 164.62
  4. Step 4: Simplify right side
    262.35x = 64,721.11
  5. Step 5: Solve for x
    x = 64,721.11/262.35
  6. Step 6: Final answer
    x = 246.69

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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.