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Finding the Fourth Proportional to 309.40, 464.06 and 147

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Solution

The fourth proportional to 309.40, 464.06 and 147 is: 220.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.40 : 464.06 = 147 : x
  2. Step 2: Convert to fraction form
    309.40/464.06 = 147/x
  3. Step 3: Cross multiply
    309.40x = 464.06 × 147
  4. Step 4: Simplify right side
    309.40x = 68,216.82
  5. Step 5: Solve for x
    x = 68,216.82/309.40
  6. Step 6: Final answer
    x = 220.48

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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.