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Finding the Fourth Proportional to 163.74, 244.18 and 154.16

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Solution

The fourth proportional to 163.74, 244.18 and 154.16 is: 229.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.74 : 244.18 = 154.16 : x
  2. Step 2: Convert to fraction form
    163.74/244.18 = 154.16/x
  3. Step 3: Cross multiply
    163.74x = 244.18 × 154.16
  4. Step 4: Simplify right side
    163.74x = 37,642.79
  5. Step 5: Solve for x
    x = 37,642.79/163.74
  6. Step 6: Final answer
    x = 229.89

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.