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Finding the Fourth Proportional to 271.34, 407.11 and 242.63

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Solution

The fourth proportional to 271.34, 407.11 and 242.63 is: 364.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.34 : 407.11 = 242.63 : x
  2. Step 2: Convert to fraction form
    271.34/407.11 = 242.63/x
  3. Step 3: Cross multiply
    271.34x = 407.11 × 242.63
  4. Step 4: Simplify right side
    271.34x = 98,777.10
  5. Step 5: Solve for x
    x = 98,777.10/271.34
  6. Step 6: Final answer
    x = 364.03

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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.