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Finding the Fourth Proportional to 266.58, 367.75 and 207.46

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Solution

The fourth proportional to 266.58, 367.75 and 207.46 is: 286.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.58 : 367.75 = 207.46 : x
  2. Step 2: Convert to fraction form
    266.58/367.75 = 207.46/x
  3. Step 3: Cross multiply
    266.58x = 367.75 × 207.46
  4. Step 4: Simplify right side
    266.58x = 76,295.75
  5. Step 5: Solve for x
    x = 76,295.75/266.58
  6. Step 6: Final answer
    x = 286.20

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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.