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Finding the Fourth Proportional to 369.67, 554.20 and 153.40

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Solution

The fourth proportional to 369.67, 554.20 and 153.40 is: 229.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.67 : 554.20 = 153.40 : x
  2. Step 2: Convert to fraction form
    369.67/554.20 = 153.40/x
  3. Step 3: Cross multiply
    369.67x = 554.20 × 153.40
  4. Step 4: Simplify right side
    369.67x = 85,012.51
  5. Step 5: Solve for x
    x = 85,012.51/369.67
  6. Step 6: Final answer
    x = 229.97

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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.