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Finding the Fourth Proportional to 369.27, 554.00 and 171.63

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Solution

The fourth proportional to 369.27, 554.00 and 171.63 is: 257.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.27 : 554.00 = 171.63 : x
  2. Step 2: Convert to fraction form
    369.27/554.00 = 171.63/x
  3. Step 3: Cross multiply
    369.27x = 554.00 × 171.63
  4. Step 4: Simplify right side
    369.27x = 95,082.16
  5. Step 5: Solve for x
    x = 95,082.16/369.27
  6. Step 6: Final answer
    x = 257.49

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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.