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Finding the Fourth Proportional to 369.88, 554.67 and 135.56

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Solution

The fourth proportional to 369.88, 554.67 and 135.56 is: 203.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.88 : 554.67 = 135.56 : x
  2. Step 2: Convert to fraction form
    369.88/554.67 = 135.56/x
  3. Step 3: Cross multiply
    369.88x = 554.67 × 135.56
  4. Step 4: Simplify right side
    369.88x = 75,191.07
  5. Step 5: Solve for x
    x = 75,191.07/369.88
  6. Step 6: Final answer
    x = 203.29

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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.