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Finding the Fourth Proportional to 484.84, 727.38 and 160.23

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Solution

The fourth proportional to 484.84, 727.38 and 160.23 is: 240.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.84 : 727.38 = 160.23 : x
  2. Step 2: Convert to fraction form
    484.84/727.38 = 160.23/x
  3. Step 3: Cross multiply
    484.84x = 727.38 × 160.23
  4. Step 4: Simplify right side
    484.84x = 116,548.10
  5. Step 5: Solve for x
    x = 116,548.10/484.84
  6. Step 6: Final answer
    x = 240.38

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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.