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Finding the Fourth Proportional to 387, 580.26 and 181.62

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Solution

The fourth proportional to 387, 580.26 and 181.62 is: 272.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    387 : 580.26 = 181.62 : x
  2. Step 2: Convert to fraction form
    387/580.26 = 181.62/x
  3. Step 3: Cross multiply
    387x = 580.26 × 181.62
  4. Step 4: Simplify right side
    387x = 105,386.82
  5. Step 5: Solve for x
    x = 105,386.82/387
  6. Step 6: Final answer
    x = 272.32

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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.