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Finding the Fourth Proportional to 226.49, 312.63 and 152.78

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Solution

The fourth proportional to 226.49, 312.63 and 152.78 is: 210.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.49 : 312.63 = 152.78 : x
  2. Step 2: Convert to fraction form
    226.49/312.63 = 152.78/x
  3. Step 3: Cross multiply
    226.49x = 312.63 × 152.78
  4. Step 4: Simplify right side
    226.49x = 47,763.61
  5. Step 5: Solve for x
    x = 47,763.61/226.49
  6. Step 6: Final answer
    x = 210.89

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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.