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Finding the Fourth Proportional to 295.36, 407.61 and 164.38

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Solution

The fourth proportional to 295.36, 407.61 and 164.38 is: 226.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.36 : 407.61 = 164.38 : x
  2. Step 2: Convert to fraction form
    295.36/407.61 = 164.38/x
  3. Step 3: Cross multiply
    295.36x = 407.61 × 164.38
  4. Step 4: Simplify right side
    295.36x = 67,000.07
  5. Step 5: Solve for x
    x = 67,000.07/295.36
  6. Step 6: Final answer
    x = 226.84

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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.