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Finding the Fourth Proportional to 226.40, 312.36 and 152.79

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Solution

The fourth proportional to 226.40, 312.36 and 152.79 is: 210.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.40 : 312.36 = 152.79 : x
  2. Step 2: Convert to fraction form
    226.40/312.36 = 152.79/x
  3. Step 3: Cross multiply
    226.40x = 312.36 × 152.79
  4. Step 4: Simplify right side
    226.40x = 47,723.74
  5. Step 5: Solve for x
    x = 47,723.74/226.40
  6. Step 6: Final answer
    x = 210.80

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