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Finding the Fourth Proportional to 295.63, 407.97 and 171.28

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Solution

The fourth proportional to 295.63, 407.97 and 171.28 is: 236.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.63 : 407.97 = 171.28 : x
  2. Step 2: Convert to fraction form
    295.63/407.97 = 171.28/x
  3. Step 3: Cross multiply
    295.63x = 407.97 × 171.28
  4. Step 4: Simplify right side
    295.63x = 69,877.10
  5. Step 5: Solve for x
    x = 69,877.10/295.63
  6. Step 6: Final answer
    x = 236.37

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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.