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Finding the Fourth Proportional to 318.07, 476.71 and 181.18

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Solution

The fourth proportional to 318.07, 476.71 and 181.18 is: 271.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.07 : 476.71 = 181.18 : x
  2. Step 2: Convert to fraction form
    318.07/476.71 = 181.18/x
  3. Step 3: Cross multiply
    318.07x = 476.71 × 181.18
  4. Step 4: Simplify right side
    318.07x = 86,370.32
  5. Step 5: Solve for x
    x = 86,370.32/318.07
  6. Step 6: Final answer
    x = 271.54

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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.