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Finding the Fourth Proportional to 242.09, 334.16 and 163.35

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Solution

The fourth proportional to 242.09, 334.16 and 163.35 is: 225.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.09 : 334.16 = 163.35 : x
  2. Step 2: Convert to fraction form
    242.09/334.16 = 163.35/x
  3. Step 3: Cross multiply
    242.09x = 334.16 × 163.35
  4. Step 4: Simplify right side
    242.09x = 54,584.83
  5. Step 5: Solve for x
    x = 54,584.83/242.09
  6. Step 6: Final answer
    x = 225.47

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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.