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Finding the Fourth Proportional to 226.78, 312.88 and 156.81

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Solution

The fourth proportional to 226.78, 312.88 and 156.81 is: 216.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.78 : 312.88 = 156.81 : x
  2. Step 2: Convert to fraction form
    226.78/312.88 = 156.81/x
  3. Step 3: Cross multiply
    226.78x = 312.88 × 156.81
  4. Step 4: Simplify right side
    226.78x = 49,064.08
  5. Step 5: Solve for x
    x = 49,064.08/226.78
  6. Step 6: Final answer
    x = 216.35

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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.