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Finding the Fourth Proportional to 266.37, 367.68 and 183.75

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Solution

The fourth proportional to 266.37, 367.68 and 183.75 is: 253.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.37 : 367.68 = 183.75 : x
  2. Step 2: Convert to fraction form
    266.37/367.68 = 183.75/x
  3. Step 3: Cross multiply
    266.37x = 367.68 × 183.75
  4. Step 4: Simplify right side
    266.37x = 67,561.20
  5. Step 5: Solve for x
    x = 67,561.20/266.37
  6. Step 6: Final answer
    x = 253.64

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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.