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Finding the Fourth Proportional to 295.10, 407.24 and 164.12

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Solution

The fourth proportional to 295.10, 407.24 and 164.12 is: 226.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.10 : 407.24 = 164.12 : x
  2. Step 2: Convert to fraction form
    295.10/407.24 = 164.12/x
  3. Step 3: Cross multiply
    295.10x = 407.24 × 164.12
  4. Step 4: Simplify right side
    295.10x = 66,836.23
  5. Step 5: Solve for x
    x = 66,836.23/295.10
  6. Step 6: Final answer
    x = 226.49

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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.