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Finding the Fourth Proportional to 242.55, 334.73 and 149.34

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Solution

The fourth proportional to 242.55, 334.73 and 149.34 is: 206.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.55 : 334.73 = 149.34 : x
  2. Step 2: Convert to fraction form
    242.55/334.73 = 149.34/x
  3. Step 3: Cross multiply
    242.55x = 334.73 × 149.34
  4. Step 4: Simplify right side
    242.55x = 49,987.83
  5. Step 5: Solve for x
    x = 49,987.83/242.55
  6. Step 6: Final answer
    x = 206.09

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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.