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Finding the Fourth Proportional to 369.78, 554.16 and 187.29

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Solution

The fourth proportional to 369.78, 554.16 and 187.29 is: 280.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.78 : 554.16 = 187.29 : x
  2. Step 2: Convert to fraction form
    369.78/554.16 = 187.29/x
  3. Step 3: Cross multiply
    369.78x = 554.16 × 187.29
  4. Step 4: Simplify right side
    369.78x = 103,788.63
  5. Step 5: Solve for x
    x = 103,788.63/369.78
  6. Step 6: Final answer
    x = 280.68

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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.