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Finding the Fourth Proportional to 242.67, 364.02 and 178.59

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Solution

The fourth proportional to 242.67, 364.02 and 178.59 is: 267.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.67 : 364.02 = 178.59 : x
  2. Step 2: Convert to fraction form
    242.67/364.02 = 178.59/x
  3. Step 3: Cross multiply
    242.67x = 364.02 × 178.59
  4. Step 4: Simplify right side
    242.67x = 65,010.33
  5. Step 5: Solve for x
    x = 65,010.33/242.67
  6. Step 6: Final answer
    x = 267.90

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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.