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Finding the Fourth Proportional to 309.64, 464.88 and 179.77

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Solution

The fourth proportional to 309.64, 464.88 and 179.77 is: 269.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.64 : 464.88 = 179.77 : x
  2. Step 2: Convert to fraction form
    309.64/464.88 = 179.77/x
  3. Step 3: Cross multiply
    309.64x = 464.88 × 179.77
  4. Step 4: Simplify right side
    309.64x = 83,571.48
  5. Step 5: Solve for x
    x = 83,571.48/309.64
  6. Step 6: Final answer
    x = 269.90

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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.