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Finding the Fourth Proportional to 175.80, 242.42 and 120.45

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Solution

The fourth proportional to 175.80, 242.42 and 120.45 is: 166.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.80 : 242.42 = 120.45 : x
  2. Step 2: Convert to fraction form
    175.80/242.42 = 120.45/x
  3. Step 3: Cross multiply
    175.80x = 242.42 × 120.45
  4. Step 4: Simplify right side
    175.80x = 29,199.49
  5. Step 5: Solve for x
    x = 29,199.49/175.80
  6. Step 6: Final answer
    x = 166.09

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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.