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Finding the Fourth Proportional to 356.16, 533.79 and 160.96

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Solution

The fourth proportional to 356.16, 533.79 and 160.96 is: 241.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.16 : 533.79 = 160.96 : x
  2. Step 2: Convert to fraction form
    356.16/533.79 = 160.96/x
  3. Step 3: Cross multiply
    356.16x = 533.79 × 160.96
  4. Step 4: Simplify right side
    356.16x = 85,918.84
  5. Step 5: Solve for x
    x = 85,918.84/356.16
  6. Step 6: Final answer
    x = 241.24

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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.