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Finding the Fourth Proportional to 208.51, 312.79 and 78.49

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Solution

The fourth proportional to 208.51, 312.79 and 78.49 is: 117.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.51 : 312.79 = 78.49 : x
  2. Step 2: Convert to fraction form
    208.51/312.79 = 78.49/x
  3. Step 3: Cross multiply
    208.51x = 312.79 × 78.49
  4. Step 4: Simplify right side
    208.51x = 24,549.91
  5. Step 5: Solve for x
    x = 24,549.91/208.51
  6. Step 6: Final answer
    x = 117.74

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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.