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Finding the Fourth Proportional to 310.50, 466.16 and 208.24

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Solution

The fourth proportional to 310.50, 466.16 and 208.24 is: 312.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.50 : 466.16 = 208.24 : x
  2. Step 2: Convert to fraction form
    310.50/466.16 = 208.24/x
  3. Step 3: Cross multiply
    310.50x = 466.16 × 208.24
  4. Step 4: Simplify right side
    310.50x = 97,072.26
  5. Step 5: Solve for x
    x = 97,072.26/310.50
  6. Step 6: Final answer
    x = 312.63

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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.