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Finding the Fourth Proportional to 309.97, 464.67 and 153.76

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Solution

The fourth proportional to 309.97, 464.67 and 153.76 is: 230.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.97 : 464.67 = 153.76 : x
  2. Step 2: Convert to fraction form
    309.97/464.67 = 153.76/x
  3. Step 3: Cross multiply
    309.97x = 464.67 × 153.76
  4. Step 4: Simplify right side
    309.97x = 71,447.66
  5. Step 5: Solve for x
    x = 71,447.66/309.97
  6. Step 6: Final answer
    x = 230.50

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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.