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Finding the Fourth Proportional to 266.46, 367.47 and 178.03

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Solution

The fourth proportional to 266.46, 367.47 and 178.03 is: 245.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.46 : 367.47 = 178.03 : x
  2. Step 2: Convert to fraction form
    266.46/367.47 = 178.03/x
  3. Step 3: Cross multiply
    266.46x = 367.47 × 178.03
  4. Step 4: Simplify right side
    266.46x = 65,421.14
  5. Step 5: Solve for x
    x = 65,421.14/266.46
  6. Step 6: Final answer
    x = 245.52

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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.