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Finding the Fourth Proportional to 233.69, 322.19 and 178.34

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Solution

The fourth proportional to 233.69, 322.19 and 178.34 is: 245.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.69 : 322.19 = 178.34 : x
  2. Step 2: Convert to fraction form
    233.69/322.19 = 178.34/x
  3. Step 3: Cross multiply
    233.69x = 322.19 × 178.34
  4. Step 4: Simplify right side
    233.69x = 57,458.53
  5. Step 5: Solve for x
    x = 57,458.53/233.69
  6. Step 6: Final answer
    x = 245.88

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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.