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Finding the Fourth Proportional to 318.47, 478.71 and 181.77

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Solution

The fourth proportional to 318.47, 478.71 and 181.77 is: 273.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.47 : 478.71 = 181.77 : x
  2. Step 2: Convert to fraction form
    318.47/478.71 = 181.77/x
  3. Step 3: Cross multiply
    318.47x = 478.71 × 181.77
  4. Step 4: Simplify right side
    318.47x = 87,015.12
  5. Step 5: Solve for x
    x = 87,015.12/318.47
  6. Step 6: Final answer
    x = 273.23

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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.