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Finding the Fourth Proportional to 208.54, 287.64 and 129.77

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Solution

The fourth proportional to 208.54, 287.64 and 129.77 is: 179.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.54 : 287.64 = 129.77 : x
  2. Step 2: Convert to fraction form
    208.54/287.64 = 129.77/x
  3. Step 3: Cross multiply
    208.54x = 287.64 × 129.77
  4. Step 4: Simplify right side
    208.54x = 37,327.76
  5. Step 5: Solve for x
    x = 37,327.76/208.54
  6. Step 6: Final answer
    x = 179.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.