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Finding the Fourth Proportional to 310.05, 464.33 and 179.64

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Solution

The fourth proportional to 310.05, 464.33 and 179.64 is: 269.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.05 : 464.33 = 179.64 : x
  2. Step 2: Convert to fraction form
    310.05/464.33 = 179.64/x
  3. Step 3: Cross multiply
    310.05x = 464.33 × 179.64
  4. Step 4: Simplify right side
    310.05x = 83,411.34
  5. Step 5: Solve for x
    x = 83,411.34/310.05
  6. Step 6: Final answer
    x = 269.03

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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.