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Finding the Fourth Proportional to 179.68, 247.84 and 114.16

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Solution

The fourth proportional to 179.68, 247.84 and 114.16 is: 157.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.68 : 247.84 = 114.16 : x
  2. Step 2: Convert to fraction form
    179.68/247.84 = 114.16/x
  3. Step 3: Cross multiply
    179.68x = 247.84 × 114.16
  4. Step 4: Simplify right side
    179.68x = 28,293.41
  5. Step 5: Solve for x
    x = 28,293.41/179.68
  6. Step 6: Final answer
    x = 157.47

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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.