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Finding the Fourth Proportional to 242.74, 364.16 and 140.68

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Solution

The fourth proportional to 242.74, 364.16 and 140.68 is: 211.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.74 : 364.16 = 140.68 : x
  2. Step 2: Convert to fraction form
    242.74/364.16 = 140.68/x
  3. Step 3: Cross multiply
    242.74x = 364.16 × 140.68
  4. Step 4: Simplify right side
    242.74x = 51,230.03
  5. Step 5: Solve for x
    x = 51,230.03/242.74
  6. Step 6: Final answer
    x = 211.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.