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Finding the Fourth Proportional to 369.63, 554.13 and 174.53

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Solution

The fourth proportional to 369.63, 554.13 and 174.53 is: 261.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.63 : 554.13 = 174.53 : x
  2. Step 2: Convert to fraction form
    369.63/554.13 = 174.53/x
  3. Step 3: Cross multiply
    369.63x = 554.13 × 174.53
  4. Step 4: Simplify right side
    369.63x = 96,709.54
  5. Step 5: Solve for x
    x = 96,709.54/369.63
  6. Step 6: Final answer
    x = 261.64

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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.