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Finding the Fourth Proportional to 271.52, 374.63 and 153.50

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Solution

The fourth proportional to 271.52, 374.63 and 153.50 is: 211.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.52 : 374.63 = 153.50 : x
  2. Step 2: Convert to fraction form
    271.52/374.63 = 153.50/x
  3. Step 3: Cross multiply
    271.52x = 374.63 × 153.50
  4. Step 4: Simplify right side
    271.52x = 57,503.06
  5. Step 5: Solve for x
    x = 57,503.06/271.52
  6. Step 6: Final answer
    x = 211.79

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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.