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Finding the Fourth Proportional to 271.68, 374.91 and 155.24

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Solution

The fourth proportional to 271.68, 374.91 and 155.24 is: 214.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.68 : 374.91 = 155.24 : x
  2. Step 2: Convert to fraction form
    271.68/374.91 = 155.24/x
  3. Step 3: Cross multiply
    271.68x = 374.91 × 155.24
  4. Step 4: Simplify right side
    271.68x = 58,199.15
  5. Step 5: Solve for x
    x = 58,199.15/271.68
  6. Step 6: Final answer
    x = 214.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.