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Finding the Fourth Proportional to 295.04, 407.19 and 164.06

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Solution

The fourth proportional to 295.04, 407.19 and 164.06 is: 226.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.04 : 407.19 = 164.06 : x
  2. Step 2: Convert to fraction form
    295.04/407.19 = 164.06/x
  3. Step 3: Cross multiply
    295.04x = 407.19 × 164.06
  4. Step 4: Simplify right side
    295.04x = 66,801.56
  5. Step 5: Solve for x
    x = 66,801.56/295.04
  6. Step 6: Final answer
    x = 226.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.