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Finding the Fourth Proportional to 295.52, 407.86 and 164.54

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Solution

The fourth proportional to 295.52, 407.86 and 164.54 is: 227.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.52 : 407.86 = 164.54 : x
  2. Step 2: Convert to fraction form
    295.52/407.86 = 164.54/x
  3. Step 3: Cross multiply
    295.52x = 407.86 × 164.54
  4. Step 4: Simplify right side
    295.52x = 67,109.28
  5. Step 5: Solve for x
    x = 67,109.28/295.52
  6. Step 6: Final answer
    x = 227.09

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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.