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Finding the Fourth Proportional to 233.52, 323.81 and 225.74

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Solution

The fourth proportional to 233.52, 323.81 and 225.74 is: 313.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.52 : 323.81 = 225.74 : x
  2. Step 2: Convert to fraction form
    233.52/323.81 = 225.74/x
  3. Step 3: Cross multiply
    233.52x = 323.81 × 225.74
  4. Step 4: Simplify right side
    233.52x = 73,094.94
  5. Step 5: Solve for x
    x = 73,094.94/233.52
  6. Step 6: Final answer
    x = 313.01

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.