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Finding the Fourth Proportional to 176.52, 243.48 and 114.36

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Solution

The fourth proportional to 176.52, 243.48 and 114.36 is: 157.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.52 : 243.48 = 114.36 : x
  2. Step 2: Convert to fraction form
    176.52/243.48 = 114.36/x
  3. Step 3: Cross multiply
    176.52x = 243.48 × 114.36
  4. Step 4: Simplify right side
    176.52x = 27,844.37
  5. Step 5: Solve for x
    x = 27,844.37/176.52
  6. Step 6: Final answer
    x = 157.74

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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.