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Finding the Fourth Proportional to 242.08, 334.07 and 148.79

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Solution

The fourth proportional to 242.08, 334.07 and 148.79 is: 205.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.08 : 334.07 = 148.79 : x
  2. Step 2: Convert to fraction form
    242.08/334.07 = 148.79/x
  3. Step 3: Cross multiply
    242.08x = 334.07 × 148.79
  4. Step 4: Simplify right side
    242.08x = 49,706.70
  5. Step 5: Solve for x
    x = 49,706.70/242.08
  6. Step 6: Final answer
    x = 205.33

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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.