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Finding the Fourth Proportional to 295.23, 407.41 and 164.24

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Solution

The fourth proportional to 295.23, 407.41 and 164.24 is: 226.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.23 : 407.41 = 164.24 : x
  2. Step 2: Convert to fraction form
    295.23/407.41 = 164.24/x
  3. Step 3: Cross multiply
    295.23x = 407.41 × 164.24
  4. Step 4: Simplify right side
    295.23x = 66,911.19
  5. Step 5: Solve for x
    x = 66,911.19/295.23
  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.