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Finding the Fourth Proportional to 364.31, 546.01 and 171.53

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Solution

The fourth proportional to 364.31, 546.01 and 171.53 is: 257.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.31 : 546.01 = 171.53 : x
  2. Step 2: Convert to fraction form
    364.31/546.01 = 171.53/x
  3. Step 3: Cross multiply
    364.31x = 546.01 × 171.53
  4. Step 4: Simplify right side
    364.31x = 93,657.10
  5. Step 5: Solve for x
    x = 93,657.10/364.31
  6. Step 6: Final answer
    x = 257.08

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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.