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Finding the Fourth Proportional to 355.90, 533.81 and 112.45

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Solution

The fourth proportional to 355.90, 533.81 and 112.45 is: 168.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.90 : 533.81 = 112.45 : x
  2. Step 2: Convert to fraction form
    355.90/533.81 = 112.45/x
  3. Step 3: Cross multiply
    355.90x = 533.81 × 112.45
  4. Step 4: Simplify right side
    355.90x = 60,026.37
  5. Step 5: Solve for x
    x = 60,026.37/355.90
  6. Step 6: Final answer
    x = 168.66

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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.