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Finding the Fourth Proportional to 364.31, 546.71 and 171.95

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Solution

The fourth proportional to 364.31, 546.71 and 171.95 is: 258.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.31 : 546.71 = 171.95 : x
  2. Step 2: Convert to fraction form
    364.31/546.71 = 171.95/x
  3. Step 3: Cross multiply
    364.31x = 546.71 × 171.95
  4. Step 4: Simplify right side
    364.31x = 94,008.58
  5. Step 5: Solve for x
    x = 94,008.58/364.31
  6. Step 6: Final answer
    x = 258.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.