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Finding the Fourth Proportional to 262.32, 362.16 and 164.16

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Solution

The fourth proportional to 262.32, 362.16 and 164.16 is: 226.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.32 : 362.16 = 164.16 : x
  2. Step 2: Convert to fraction form
    262.32/362.16 = 164.16/x
  3. Step 3: Cross multiply
    262.32x = 362.16 × 164.16
  4. Step 4: Simplify right side
    262.32x = 59,452.19
  5. Step 5: Solve for x
    x = 59,452.19/262.32
  6. Step 6: Final answer
    x = 226.64

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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.