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Finding the Fourth Proportional to 262.94, 363.16 and 175.46

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Solution

The fourth proportional to 262.94, 363.16 and 175.46 is: 242.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.94 : 363.16 = 175.46 : x
  2. Step 2: Convert to fraction form
    262.94/363.16 = 175.46/x
  3. Step 3: Cross multiply
    262.94x = 363.16 × 175.46
  4. Step 4: Simplify right side
    262.94x = 63,720.05
  5. Step 5: Solve for x
    x = 63,720.05/262.94
  6. Step 6: Final answer
    x = 242.34

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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.