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Finding the Fourth Proportional to 295.40, 407.67 and 164.41

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Solution

The fourth proportional to 295.40, 407.67 and 164.41 is: 226.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.40 : 407.67 = 164.41 : x
  2. Step 2: Convert to fraction form
    295.40/407.67 = 164.41/x
  3. Step 3: Cross multiply
    295.40x = 407.67 × 164.41
  4. Step 4: Simplify right side
    295.40x = 67,025.02
  5. Step 5: Solve for x
    x = 67,025.02/295.40
  6. Step 6: Final answer
    x = 226.90

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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.