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Finding the Fourth Proportional to 208.17, 312.15 and 116.79

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Solution

The fourth proportional to 208.17, 312.15 and 116.79 is: 175.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.17 : 312.15 = 116.79 : x
  2. Step 2: Convert to fraction form
    208.17/312.15 = 116.79/x
  3. Step 3: Cross multiply
    208.17x = 312.15 × 116.79
  4. Step 4: Simplify right side
    208.17x = 36,457.02
  5. Step 5: Solve for x
    x = 36,457.02/208.17
  6. Step 6: Final answer
    x = 175.13

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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.