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Finding the Fourth Proportional to 310.98, 465.75 and 180.66

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Solution

The fourth proportional to 310.98, 465.75 and 180.66 is: 270.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.98 : 465.75 = 180.66 : x
  2. Step 2: Convert to fraction form
    310.98/465.75 = 180.66/x
  3. Step 3: Cross multiply
    310.98x = 465.75 × 180.66
  4. Step 4: Simplify right side
    310.98x = 84,140.07
  5. Step 5: Solve for x
    x = 84,140.07/310.98
  6. Step 6: Final answer
    x = 270.57

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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.