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Finding the Fourth Proportional to 208.32, 310.77 and 177.54

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Solution

The fourth proportional to 208.32, 310.77 and 177.54 is: 264.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.32 : 310.77 = 177.54 : x
  2. Step 2: Convert to fraction form
    208.32/310.77 = 177.54/x
  3. Step 3: Cross multiply
    208.32x = 310.77 × 177.54
  4. Step 4: Simplify right side
    208.32x = 55,174.11
  5. Step 5: Solve for x
    x = 55,174.11/208.32
  6. Step 6: Final answer
    x = 264.85

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.