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Finding the Fourth Proportional to 179.54, 247.78 and 114.08

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Solution

The fourth proportional to 179.54, 247.78 and 114.08 is: 157.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.54 : 247.78 = 114.08 : x
  2. Step 2: Convert to fraction form
    179.54/247.78 = 114.08/x
  3. Step 3: Cross multiply
    179.54x = 247.78 × 114.08
  4. Step 4: Simplify right side
    179.54x = 28,266.74
  5. Step 5: Solve for x
    x = 28,266.74/179.54
  6. Step 6: Final answer
    x = 157.44

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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.