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Finding the Fourth Proportional to 323.19, 484.43 and 160.77

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Solution

The fourth proportional to 323.19, 484.43 and 160.77 is: 240.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.19 : 484.43 = 160.77 : x
  2. Step 2: Convert to fraction form
    323.19/484.43 = 160.77/x
  3. Step 3: Cross multiply
    323.19x = 484.43 × 160.77
  4. Step 4: Simplify right side
    323.19x = 77,881.01
  5. Step 5: Solve for x
    x = 77,881.01/323.19
  6. Step 6: Final answer
    x = 240.98

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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.