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Finding the Fourth Proportional to 484.69, 727.16 and 160.06

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Solution

The fourth proportional to 484.69, 727.16 and 160.06 is: 240.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.69 : 727.16 = 160.06 : x
  2. Step 2: Convert to fraction form
    484.69/727.16 = 160.06/x
  3. Step 3: Cross multiply
    484.69x = 727.16 × 160.06
  4. Step 4: Simplify right side
    484.69x = 116,389.23
  5. Step 5: Solve for x
    x = 116,389.23/484.69
  6. Step 6: Final answer
    x = 240.13

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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.