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Finding the Fourth Proportional to 176.05, 240.84 and 175.24

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Solution

The fourth proportional to 176.05, 240.84 and 175.24 is: 239.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.05 : 240.84 = 175.24 : x
  2. Step 2: Convert to fraction form
    176.05/240.84 = 175.24/x
  3. Step 3: Cross multiply
    176.05x = 240.84 × 175.24
  4. Step 4: Simplify right side
    176.05x = 42,204.80
  5. Step 5: Solve for x
    x = 42,204.80/176.05
  6. Step 6: Final answer
    x = 239.73

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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.