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Finding the Fourth Proportional to 271.53, 407.29 and 206.66

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Solution

The fourth proportional to 271.53, 407.29 and 206.66 is: 309.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.53 : 407.29 = 206.66 : x
  2. Step 2: Convert to fraction form
    271.53/407.29 = 206.66/x
  3. Step 3: Cross multiply
    271.53x = 407.29 × 206.66
  4. Step 4: Simplify right side
    271.53x = 84,170.55
  5. Step 5: Solve for x
    x = 84,170.55/271.53
  6. Step 6: Final answer
    x = 309.99

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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.