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Finding the Fourth Proportional to 323.34, 484.89 and 117.86

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Solution

The fourth proportional to 323.34, 484.89 and 117.86 is: 176.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.34 : 484.89 = 117.86 : x
  2. Step 2: Convert to fraction form
    323.34/484.89 = 117.86/x
  3. Step 3: Cross multiply
    323.34x = 484.89 × 117.86
  4. Step 4: Simplify right side
    323.34x = 57,146.71
  5. Step 5: Solve for x
    x = 57,146.71/323.34
  6. Step 6: Final answer
    x = 176.74

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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.