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Finding the Fourth Proportional to 355.31, 533.04 and 160.21

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Solution

The fourth proportional to 355.31, 533.04 and 160.21 is: 240.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.31 : 533.04 = 160.21 : x
  2. Step 2: Convert to fraction form
    355.31/533.04 = 160.21/x
  3. Step 3: Cross multiply
    355.31x = 533.04 × 160.21
  4. Step 4: Simplify right side
    355.31x = 85,398.40
  5. Step 5: Solve for x
    x = 85,398.40/355.31
  6. Step 6: Final answer
    x = 240.35

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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.