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Finding the Fourth Proportional to 208.61, 313.04 and 78.71

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Solution

The fourth proportional to 208.61, 313.04 and 78.71 is: 118.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.61 : 313.04 = 78.71 : x
  2. Step 2: Convert to fraction form
    208.61/313.04 = 78.71/x
  3. Step 3: Cross multiply
    208.61x = 313.04 × 78.71
  4. Step 4: Simplify right side
    208.61x = 24,637.42
  5. Step 5: Solve for x
    x = 24,637.42/208.61
  6. Step 6: Final answer
    x = 118.10

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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.