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Finding the Fourth Proportional to 233.96, 322.84 and 178.56

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Solution

The fourth proportional to 233.96, 322.84 and 178.56 is: 246.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.96 : 322.84 = 178.56 : x
  2. Step 2: Convert to fraction form
    233.96/322.84 = 178.56/x
  3. Step 3: Cross multiply
    233.96x = 322.84 × 178.56
  4. Step 4: Simplify right side
    233.96x = 57,646.31
  5. Step 5: Solve for x
    x = 57,646.31/233.96
  6. Step 6: Final answer
    x = 246.39

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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.