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Finding the Fourth Proportional to 179.61, 246.19 and 177.18

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Solution

The fourth proportional to 179.61, 246.19 and 177.18 is: 242.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.61 : 246.19 = 177.18 : x
  2. Step 2: Convert to fraction form
    179.61/246.19 = 177.18/x
  3. Step 3: Cross multiply
    179.61x = 246.19 × 177.18
  4. Step 4: Simplify right side
    179.61x = 43,619.94
  5. Step 5: Solve for x
    x = 43,619.94/179.61
  6. Step 6: Final answer
    x = 242.86

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.