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Finding the Fourth Proportional to 313.88, 470.81 and 121.50

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Solution

The fourth proportional to 313.88, 470.81 and 121.50 is: 182.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.88 : 470.81 = 121.50 : x
  2. Step 2: Convert to fraction form
    313.88/470.81 = 121.50/x
  3. Step 3: Cross multiply
    313.88x = 470.81 × 121.50
  4. Step 4: Simplify right side
    313.88x = 57,203.72
  5. Step 5: Solve for x
    x = 57,203.72/313.88
  6. Step 6: Final answer
    x = 182.25

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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.