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Finding the Fourth Proportional to 356.13, 533.83 and 150.81

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Solution

The fourth proportional to 356.13, 533.83 and 150.81 is: 226.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.13 : 533.83 = 150.81 : x
  2. Step 2: Convert to fraction form
    356.13/533.83 = 150.81/x
  3. Step 3: Cross multiply
    356.13x = 533.83 × 150.81
  4. Step 4: Simplify right side
    356.13x = 80,506.90
  5. Step 5: Solve for x
    x = 80,506.90/356.13
  6. Step 6: Final answer
    x = 226.06

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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.