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Finding the Fourth Proportional to 189.42, 262.36 and 175.38

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Solution

The fourth proportional to 189.42, 262.36 and 175.38 is: 242.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.42 : 262.36 = 175.38 : x
  2. Step 2: Convert to fraction form
    189.42/262.36 = 175.38/x
  3. Step 3: Cross multiply
    189.42x = 262.36 × 175.38
  4. Step 4: Simplify right side
    189.42x = 46,012.70
  5. Step 5: Solve for x
    x = 46,012.70/189.42
  6. Step 6: Final answer
    x = 242.91

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.