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Finding the Fourth Proportional to 295.04, 407.13 and 164.05

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Solution

The fourth proportional to 295.04, 407.13 and 164.05 is: 226.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.04 : 407.13 = 164.05 : x
  2. Step 2: Convert to fraction form
    295.04/407.13 = 164.05/x
  3. Step 3: Cross multiply
    295.04x = 407.13 × 164.05
  4. Step 4: Simplify right side
    295.04x = 66,789.68
  5. Step 5: Solve for x
    x = 66,789.68/295.04
  6. Step 6: Final answer
    x = 226.37

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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.