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Finding the Fourth Proportional to 226.47, 312.67 and 156.50

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Solution

The fourth proportional to 226.47, 312.67 and 156.50 is: 216.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.47 : 312.67 = 156.50 : x
  2. Step 2: Convert to fraction form
    226.47/312.67 = 156.50/x
  3. Step 3: Cross multiply
    226.47x = 312.67 × 156.50
  4. Step 4: Simplify right side
    226.47x = 48,933.25
  5. Step 5: Solve for x
    x = 48,933.25/226.47
  6. Step 6: Final answer
    x = 216.07

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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.