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Finding the Fourth Proportional to 266.58, 367.62 and 182.74

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Solution

The fourth proportional to 266.58, 367.62 and 182.74 is: 252.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.58 : 367.62 = 182.74 : x
  2. Step 2: Convert to fraction form
    266.58/367.62 = 182.74/x
  3. Step 3: Cross multiply
    266.58x = 367.62 × 182.74
  4. Step 4: Simplify right side
    266.58x = 67,178.88
  5. Step 5: Solve for x
    x = 67,178.88/266.58
  6. Step 6: Final answer
    x = 252.00

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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.