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Finding the Fourth Proportional to 295.48, 407.77 and 164.46

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Solution

The fourth proportional to 295.48, 407.77 and 164.46 is: 226.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.48 : 407.77 = 164.46 : x
  2. Step 2: Convert to fraction form
    295.48/407.77 = 164.46/x
  3. Step 3: Cross multiply
    295.48x = 407.77 × 164.46
  4. Step 4: Simplify right side
    295.48x = 67,062.97
  5. Step 5: Solve for x
    x = 67,062.97/295.48
  6. Step 6: Final answer
    x = 226.96

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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.