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Finding the Fourth Proportional to 242.09, 334.26 and 148.96

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Solution

The fourth proportional to 242.09, 334.26 and 148.96 is: 205.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.09 : 334.26 = 148.96 : x
  2. Step 2: Convert to fraction form
    242.09/334.26 = 148.96/x
  3. Step 3: Cross multiply
    242.09x = 334.26 × 148.96
  4. Step 4: Simplify right side
    242.09x = 49,790.53
  5. Step 5: Solve for x
    x = 49,790.53/242.09
  6. Step 6: Final answer
    x = 205.67

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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.