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Finding the Fourth Proportional to 233.57, 322.37 and 225.98

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Solution

The fourth proportional to 233.57, 322.37 and 225.98 is: 311.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.57 : 322.37 = 225.98 : x
  2. Step 2: Convert to fraction form
    233.57/322.37 = 225.98/x
  3. Step 3: Cross multiply
    233.57x = 322.37 × 225.98
  4. Step 4: Simplify right side
    233.57x = 72,849.17
  5. Step 5: Solve for x
    x = 72,849.17/233.57
  6. Step 6: Final answer
    x = 311.89

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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.