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Finding the Fourth Proportional to 295.71, 407.91 and 171.31

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Solution

The fourth proportional to 295.71, 407.91 and 171.31 is: 236.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.71 : 407.91 = 171.31 : x
  2. Step 2: Convert to fraction form
    295.71/407.91 = 171.31/x
  3. Step 3: Cross multiply
    295.71x = 407.91 × 171.31
  4. Step 4: Simplify right side
    295.71x = 69,877.02
  5. Step 5: Solve for x
    x = 69,877.02/295.71
  6. Step 6: Final answer
    x = 236.31

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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.