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Finding the Fourth Proportional to 179.52, 247.64 and 114

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Solution

The fourth proportional to 179.52, 247.64 and 114 is: 157.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.52 : 247.64 = 114 : x
  2. Step 2: Convert to fraction form
    179.52/247.64 = 114/x
  3. Step 3: Cross multiply
    179.52x = 247.64 × 114
  4. Step 4: Simplify right side
    179.52x = 28,230.96
  5. Step 5: Solve for x
    x = 28,230.96/179.52
  6. Step 6: Final answer
    x = 157.26

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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.