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Finding the Fourth Proportional to 310.74, 464.95 and 180.87

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Solution

The fourth proportional to 310.74, 464.95 and 180.87 is: 270.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.74 : 464.95 = 180.87 : x
  2. Step 2: Convert to fraction form
    310.74/464.95 = 180.87/x
  3. Step 3: Cross multiply
    310.74x = 464.95 × 180.87
  4. Step 4: Simplify right side
    310.74x = 84,095.51
  5. Step 5: Solve for x
    x = 84,095.51/310.74
  6. Step 6: Final answer
    x = 270.63

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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.