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Finding the Fourth Proportional to 233.19, 322.02 and 154.56

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Solution

The fourth proportional to 233.19, 322.02 and 154.56 is: 213.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.19 : 322.02 = 154.56 : x
  2. Step 2: Convert to fraction form
    233.19/322.02 = 154.56/x
  3. Step 3: Cross multiply
    233.19x = 322.02 × 154.56
  4. Step 4: Simplify right side
    233.19x = 49,771.41
  5. Step 5: Solve for x
    x = 49,771.41/233.19
  6. Step 6: Final answer
    x = 213.44

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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.