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Finding the Fourth Proportional to 226.53, 312.63 and 132

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Solution

The fourth proportional to 226.53, 312.63 and 132 is: 182.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.53 : 312.63 = 132 : x
  2. Step 2: Convert to fraction form
    226.53/312.63 = 132/x
  3. Step 3: Cross multiply
    226.53x = 312.63 × 132
  4. Step 4: Simplify right side
    226.53x = 41,267.16
  5. Step 5: Solve for x
    x = 41,267.16/226.53
  6. Step 6: Final answer
    x = 182.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.