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Finding the Fourth Proportional to 295.50, 407.75 and 164.49

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Solution

The fourth proportional to 295.50, 407.75 and 164.49 is: 226.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.50 : 407.75 = 164.49 : x
  2. Step 2: Convert to fraction form
    295.50/407.75 = 164.49/x
  3. Step 3: Cross multiply
    295.50x = 407.75 × 164.49
  4. Step 4: Simplify right side
    295.50x = 67,070.80
  5. Step 5: Solve for x
    x = 67,070.80/295.50
  6. Step 6: Final answer
    x = 226.97

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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.