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Finding the Fourth Proportional to 208.31, 312.48 and 64.13

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Solution

The fourth proportional to 208.31, 312.48 and 64.13 is: 96.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.31 : 312.48 = 64.13 : x
  2. Step 2: Convert to fraction form
    208.31/312.48 = 64.13/x
  3. Step 3: Cross multiply
    208.31x = 312.48 × 64.13
  4. Step 4: Simplify right side
    208.31x = 20,039.34
  5. Step 5: Solve for x
    x = 20,039.34/208.31
  6. Step 6: Final answer
    x = 96.20

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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.