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Finding the Fourth Proportional to 175.78, 242.64 and 120.65

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Solution

The fourth proportional to 175.78, 242.64 and 120.65 is: 166.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.78 : 242.64 = 120.65 : x
  2. Step 2: Convert to fraction form
    175.78/242.64 = 120.65/x
  3. Step 3: Cross multiply
    175.78x = 242.64 × 120.65
  4. Step 4: Simplify right side
    175.78x = 29,274.52
  5. Step 5: Solve for x
    x = 29,274.52/175.78
  6. Step 6: Final answer
    x = 166.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.