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Finding the Fourth Proportional to 226.54, 312.50 and 152.96

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Solution

The fourth proportional to 226.54, 312.50 and 152.96 is: 211.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.54 : 312.50 = 152.96 : x
  2. Step 2: Convert to fraction form
    226.54/312.50 = 152.96/x
  3. Step 3: Cross multiply
    226.54x = 312.50 × 152.96
  4. Step 4: Simplify right side
    226.54x = 47,800
  5. Step 5: Solve for x
    x = 47,800/226.54
  6. Step 6: Final answer
    x = 211.00

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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.