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Finding the Fourth Proportional to 309.80, 464.28 and 147.14

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Solution

The fourth proportional to 309.80, 464.28 and 147.14 is: 220.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.80 : 464.28 = 147.14 : x
  2. Step 2: Convert to fraction form
    309.80/464.28 = 147.14/x
  3. Step 3: Cross multiply
    309.80x = 464.28 × 147.14
  4. Step 4: Simplify right side
    309.80x = 68,314.16
  5. Step 5: Solve for x
    x = 68,314.16/309.80
  6. Step 6: Final answer
    x = 220.51

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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.