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Finding the Fourth Proportional to 233.54, 320.17 and 229.45

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Solution

The fourth proportional to 233.54, 320.17 and 229.45 is: 314.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.54 : 320.17 = 229.45 : x
  2. Step 2: Convert to fraction form
    233.54/320.17 = 229.45/x
  3. Step 3: Cross multiply
    233.54x = 320.17 × 229.45
  4. Step 4: Simplify right side
    233.54x = 73,463.01
  5. Step 5: Solve for x
    x = 73,463.01/233.54
  6. Step 6: Final answer
    x = 314.56

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.