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Finding the Fourth Proportional to 309.78, 464.94 and 180

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Solution

The fourth proportional to 309.78, 464.94 and 180 is: 270.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.78 : 464.94 = 180 : x
  2. Step 2: Convert to fraction form
    309.78/464.94 = 180/x
  3. Step 3: Cross multiply
    309.78x = 464.94 × 180
  4. Step 4: Simplify right side
    309.78x = 83,689.20
  5. Step 5: Solve for x
    x = 83,689.20/309.78
  6. Step 6: Final answer
    x = 270.16

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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.