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Finding the Fourth Proportional to 176.24, 243.14 and 114.08

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Solution

The fourth proportional to 176.24, 243.14 and 114.08 is: 157.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.24 : 243.14 = 114.08 : x
  2. Step 2: Convert to fraction form
    176.24/243.14 = 114.08/x
  3. Step 3: Cross multiply
    176.24x = 243.14 × 114.08
  4. Step 4: Simplify right side
    176.24x = 27,735.63
  5. Step 5: Solve for x
    x = 27,735.63/176.24
  6. Step 6: Final answer
    x = 157.37

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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.