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Finding the Fourth Proportional to 310.88, 466.32 and 166.57

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Solution

The fourth proportional to 310.88, 466.32 and 166.57 is: 249.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.88 : 466.32 = 166.57 : x
  2. Step 2: Convert to fraction form
    310.88/466.32 = 166.57/x
  3. Step 3: Cross multiply
    310.88x = 466.32 × 166.57
  4. Step 4: Simplify right side
    310.88x = 77,674.38
  5. Step 5: Solve for x
    x = 77,674.38/310.88
  6. Step 6: Final answer
    x = 249.85

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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.