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Finding the Fourth Proportional to 262.16, 393.20 and 164.69

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Solution

The fourth proportional to 262.16, 393.20 and 164.69 is: 247.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.16 : 393.20 = 164.69 : x
  2. Step 2: Convert to fraction form
    262.16/393.20 = 164.69/x
  3. Step 3: Cross multiply
    262.16x = 393.20 × 164.69
  4. Step 4: Simplify right side
    262.16x = 64,756.11
  5. Step 5: Solve for x
    x = 64,756.11/262.16
  6. Step 6: Final answer
    x = 247.01

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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.