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Finding the Fourth Proportional to 355.31, 533.06 and 172.71

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Solution

The fourth proportional to 355.31, 533.06 and 172.71 is: 259.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.31 : 533.06 = 172.71 : x
  2. Step 2: Convert to fraction form
    355.31/533.06 = 172.71/x
  3. Step 3: Cross multiply
    355.31x = 533.06 × 172.71
  4. Step 4: Simplify right side
    355.31x = 92,065.22
  5. Step 5: Solve for x
    x = 92,065.22/355.31
  6. Step 6: Final answer
    x = 259.12

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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.