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Finding the Fourth Proportional to 208.56, 312.92 and 117.20

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Solution

The fourth proportional to 208.56, 312.92 and 117.20 is: 175.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.56 : 312.92 = 117.20 : x
  2. Step 2: Convert to fraction form
    208.56/312.92 = 117.20/x
  3. Step 3: Cross multiply
    208.56x = 312.92 × 117.20
  4. Step 4: Simplify right side
    208.56x = 36,674.22
  5. Step 5: Solve for x
    x = 36,674.22/208.56
  6. Step 6: Final answer
    x = 175.84

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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.