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Finding the Fourth Proportional to 295.62, 407.94 and 164.64

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Solution

The fourth proportional to 295.62, 407.94 and 164.64 is: 227.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.62 : 407.94 = 164.64 : x
  2. Step 2: Convert to fraction form
    295.62/407.94 = 164.64/x
  3. Step 3: Cross multiply
    295.62x = 407.94 × 164.64
  4. Step 4: Simplify right side
    295.62x = 67,163.24
  5. Step 5: Solve for x
    x = 67,163.24/295.62
  6. Step 6: Final answer
    x = 227.19

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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.