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Finding the Fourth Proportional to 295.13, 407.24 and 164.13

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Solution

The fourth proportional to 295.13, 407.24 and 164.13 is: 226.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.13 : 407.24 = 164.13 : x
  2. Step 2: Convert to fraction form
    295.13/407.24 = 164.13/x
  3. Step 3: Cross multiply
    295.13x = 407.24 × 164.13
  4. Step 4: Simplify right side
    295.13x = 66,839.48
  5. Step 5: Solve for x
    x = 66,839.48/295.13
  6. Step 6: Final answer
    x = 226.48

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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.