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Finding the Fourth Proportional to 295.06, 407.20 and 164.06

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Solution

The fourth proportional to 295.06, 407.20 and 164.06 is: 226.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.06 : 407.20 = 164.06 : x
  2. Step 2: Convert to fraction form
    295.06/407.20 = 164.06/x
  3. Step 3: Cross multiply
    295.06x = 407.20 × 164.06
  4. Step 4: Simplify right side
    295.06x = 66,805.23
  5. Step 5: Solve for x
    x = 66,805.23/295.06
  6. Step 6: Final answer
    x = 226.41

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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.