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Finding the Fourth Proportional to 266.27, 399.51 and 214.64

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Solution

The fourth proportional to 266.27, 399.51 and 214.64 is: 322.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.27 : 399.51 = 214.64 : x
  2. Step 2: Convert to fraction form
    266.27/399.51 = 214.64/x
  3. Step 3: Cross multiply
    266.27x = 399.51 × 214.64
  4. Step 4: Simplify right side
    266.27x = 85,750.83
  5. Step 5: Solve for x
    x = 85,750.83/266.27
  6. Step 6: Final answer
    x = 322.04

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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.