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Finding the Fourth Proportional to 295.45, 407.73 and 164.45

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Solution

The fourth proportional to 295.45, 407.73 and 164.45 is: 226.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.45 : 407.73 = 164.45 : x
  2. Step 2: Convert to fraction form
    295.45/407.73 = 164.45/x
  3. Step 3: Cross multiply
    295.45x = 407.73 × 164.45
  4. Step 4: Simplify right side
    295.45x = 67,052.83
  5. Step 5: Solve for x
    x = 67,052.83/295.45
  6. Step 6: Final answer
    x = 226.95

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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.