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Finding the Fourth Proportional to 309.86, 464.98 and 180.11

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Solution

The fourth proportional to 309.86, 464.98 and 180.11 is: 270.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.86 : 464.98 = 180.11 : x
  2. Step 2: Convert to fraction form
    309.86/464.98 = 180.11/x
  3. Step 3: Cross multiply
    309.86x = 464.98 × 180.11
  4. Step 4: Simplify right side
    309.86x = 83,746.65
  5. Step 5: Solve for x
    x = 83,746.65/309.86
  6. Step 6: Final answer
    x = 270.27

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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.