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Finding the Fourth Proportional to 266.94, 399.78 and 164.30

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Solution

The fourth proportional to 266.94, 399.78 and 164.30 is: 246.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.94 : 399.78 = 164.30 : x
  2. Step 2: Convert to fraction form
    266.94/399.78 = 164.30/x
  3. Step 3: Cross multiply
    266.94x = 399.78 × 164.30
  4. Step 4: Simplify right side
    266.94x = 65,681.86
  5. Step 5: Solve for x
    x = 65,681.86/266.94
  6. Step 6: Final answer
    x = 246.05

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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.