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Finding the Fourth Proportional to 369.96, 554.87 and 138.79

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Solution

The fourth proportional to 369.96, 554.87 and 138.79 is: 208.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.96 : 554.87 = 138.79 : x
  2. Step 2: Convert to fraction form
    369.96/554.87 = 138.79/x
  3. Step 3: Cross multiply
    369.96x = 554.87 × 138.79
  4. Step 4: Simplify right side
    369.96x = 77,009.37
  5. Step 5: Solve for x
    x = 77,009.37/369.96
  6. Step 6: Final answer
    x = 208.16

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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.