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Finding the Fourth Proportional to 208.30, 312.19 and 156.77

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Solution

The fourth proportional to 208.30, 312.19 and 156.77 is: 234.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.30 : 312.19 = 156.77 : x
  2. Step 2: Convert to fraction form
    208.30/312.19 = 156.77/x
  3. Step 3: Cross multiply
    208.30x = 312.19 × 156.77
  4. Step 4: Simplify right side
    208.30x = 48,943.22
  5. Step 5: Solve for x
    x = 48,943.22/208.30
  6. Step 6: Final answer
    x = 234.97

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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.