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Finding the Fourth Proportional to 355.77, 533.76 and 182.30

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Solution

The fourth proportional to 355.77, 533.76 and 182.30 is: 273.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.77 : 533.76 = 182.30 : x
  2. Step 2: Convert to fraction form
    355.77/533.76 = 182.30/x
  3. Step 3: Cross multiply
    355.77x = 533.76 × 182.30
  4. Step 4: Simplify right side
    355.77x = 97,304.45
  5. Step 5: Solve for x
    x = 97,304.45/355.77
  6. Step 6: Final answer
    x = 273.50

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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.