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Finding the Fourth Proportional to 176.21, 242.97 and 113.96

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Solution

The fourth proportional to 176.21, 242.97 and 113.96 is: 157.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.21 : 242.97 = 113.96 : x
  2. Step 2: Convert to fraction form
    176.21/242.97 = 113.96/x
  3. Step 3: Cross multiply
    176.21x = 242.97 × 113.96
  4. Step 4: Simplify right side
    176.21x = 27,688.25
  5. Step 5: Solve for x
    x = 27,688.25/176.21
  6. Step 6: Final answer
    x = 157.13

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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.