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Finding the Fourth Proportional to 310.28, 465.47 and 104.84

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Solution

The fourth proportional to 310.28, 465.47 and 104.84 is: 157.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.28 : 465.47 = 104.84 : x
  2. Step 2: Convert to fraction form
    310.28/465.47 = 104.84/x
  3. Step 3: Cross multiply
    310.28x = 465.47 × 104.84
  4. Step 4: Simplify right side
    310.28x = 48,800.51
  5. Step 5: Solve for x
    x = 48,800.51/310.28
  6. Step 6: Final answer
    x = 157.28

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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.