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Finding the Fourth Proportional to 226.67, 312.69 and 152.86

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Solution

The fourth proportional to 226.67, 312.69 and 152.86 is: 210.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.67 : 312.69 = 152.86 : x
  2. Step 2: Convert to fraction form
    226.67/312.69 = 152.86/x
  3. Step 3: Cross multiply
    226.67x = 312.69 × 152.86
  4. Step 4: Simplify right side
    226.67x = 47,795.47
  5. Step 5: Solve for x
    x = 47,795.47/226.67
  6. Step 6: Final answer
    x = 210.86

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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.