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Finding the Fourth Proportional to 323, 484.47 and 117.56

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Solution

The fourth proportional to 323, 484.47 and 117.56 is: 176.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    323 : 484.47 = 117.56 : x
  2. Step 2: Convert to fraction form
    323/484.47 = 117.56/x
  3. Step 3: Cross multiply
    323x = 484.47 × 117.56
  4. Step 4: Simplify right side
    323x = 56,954.29
  5. Step 5: Solve for x
    x = 56,954.29/323
  6. Step 6: Final answer
    x = 176.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.