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Finding the Fourth Proportional to 176.05, 243.05 and 113.93

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Solution

The fourth proportional to 176.05, 243.05 and 113.93 is: 157.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.05 : 243.05 = 113.93 : x
  2. Step 2: Convert to fraction form
    176.05/243.05 = 113.93/x
  3. Step 3: Cross multiply
    176.05x = 243.05 × 113.93
  4. Step 4: Simplify right side
    176.05x = 27,690.69
  5. Step 5: Solve for x
    x = 27,690.69/176.05
  6. Step 6: Final answer
    x = 157.29

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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.