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Finding the Fourth Proportional to 237.02, 352.81 and 233.54

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Solution

The fourth proportional to 237.02, 352.81 and 233.54 is: 347.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.02 : 352.81 = 233.54 : x
  2. Step 2: Convert to fraction form
    237.02/352.81 = 233.54/x
  3. Step 3: Cross multiply
    237.02x = 352.81 × 233.54
  4. Step 4: Simplify right side
    237.02x = 82,395.25
  5. Step 5: Solve for x
    x = 82,395.25/237.02
  6. Step 6: Final answer
    x = 347.63

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.