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Finding the Fourth Proportional to 271.41, 374.55 and 147.07

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Solution

The fourth proportional to 271.41, 374.55 and 147.07 is: 202.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.41 : 374.55 = 147.07 : x
  2. Step 2: Convert to fraction form
    271.41/374.55 = 147.07/x
  3. Step 3: Cross multiply
    271.41x = 374.55 × 147.07
  4. Step 4: Simplify right side
    271.41x = 55,085.66
  5. Step 5: Solve for x
    x = 55,085.66/271.41
  6. Step 6: Final answer
    x = 202.96

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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.