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Finding the Fourth Proportional to 179.77, 247.71 and 135.49

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Solution

The fourth proportional to 179.77, 247.71 and 135.49 is: 186.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.77 : 247.71 = 135.49 : x
  2. Step 2: Convert to fraction form
    179.77/247.71 = 135.49/x
  3. Step 3: Cross multiply
    179.77x = 247.71 × 135.49
  4. Step 4: Simplify right side
    179.77x = 33,562.23
  5. Step 5: Solve for x
    x = 33,562.23/179.77
  6. Step 6: Final answer
    x = 186.70

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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.