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Finding the Fourth Proportional to 266.68, 399.64 and 194.36

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Solution

The fourth proportional to 266.68, 399.64 and 194.36 is: 291.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.68 : 399.64 = 194.36 : x
  2. Step 2: Convert to fraction form
    266.68/399.64 = 194.36/x
  3. Step 3: Cross multiply
    266.68x = 399.64 × 194.36
  4. Step 4: Simplify right side
    266.68x = 77,674.03
  5. Step 5: Solve for x
    x = 77,674.03/266.68
  6. Step 6: Final answer
    x = 291.26

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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.