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Finding the Fourth Proportional to 176.40, 241.84 and 173.71

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Solution

The fourth proportional to 176.40, 241.84 and 173.71 is: 238.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.40 : 241.84 = 173.71 : x
  2. Step 2: Convert to fraction form
    176.40/241.84 = 173.71/x
  3. Step 3: Cross multiply
    176.40x = 241.84 × 173.71
  4. Step 4: Simplify right side
    176.40x = 42,009.96
  5. Step 5: Solve for x
    x = 42,009.96/176.40
  6. Step 6: Final answer
    x = 238.16

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.