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Finding the Fourth Proportional to 271.51, 374.58 and 192.82

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Solution

The fourth proportional to 271.51, 374.58 and 192.82 is: 266.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.51 : 374.58 = 192.82 : x
  2. Step 2: Convert to fraction form
    271.51/374.58 = 192.82/x
  3. Step 3: Cross multiply
    271.51x = 374.58 × 192.82
  4. Step 4: Simplify right side
    271.51x = 72,226.52
  5. Step 5: Solve for x
    x = 72,226.52/271.51
  6. Step 6: Final answer
    x = 266.02

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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.