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Finding the Fourth Proportional to 175.74, 242.61 and 120.50

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Solution

The fourth proportional to 175.74, 242.61 and 120.50 is: 166.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.74 : 242.61 = 120.50 : x
  2. Step 2: Convert to fraction form
    175.74/242.61 = 120.50/x
  3. Step 3: Cross multiply
    175.74x = 242.61 × 120.50
  4. Step 4: Simplify right side
    175.74x = 29,234.51
  5. Step 5: Solve for x
    x = 29,234.51/175.74
  6. Step 6: Final answer
    x = 166.35

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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.