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Finding the Fourth Proportional to 175.65, 242.42 and 120.48

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Solution

The fourth proportional to 175.65, 242.42 and 120.48 is: 166.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.65 : 242.42 = 120.48 : x
  2. Step 2: Convert to fraction form
    175.65/242.42 = 120.48/x
  3. Step 3: Cross multiply
    175.65x = 242.42 × 120.48
  4. Step 4: Simplify right side
    175.65x = 29,206.16
  5. Step 5: Solve for x
    x = 29,206.16/175.65
  6. Step 6: Final answer
    x = 166.27

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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.