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Finding the Fourth Proportional to 271.41, 407.07 and 155.48

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Solution

The fourth proportional to 271.41, 407.07 and 155.48 is: 233.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.41 : 407.07 = 155.48 : x
  2. Step 2: Convert to fraction form
    271.41/407.07 = 155.48/x
  3. Step 3: Cross multiply
    271.41x = 407.07 × 155.48
  4. Step 4: Simplify right side
    271.41x = 63,291.24
  5. Step 5: Solve for x
    x = 63,291.24/271.41
  6. Step 6: Final answer
    x = 233.19

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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.