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Finding the Fourth Proportional to 369.51, 554.36 and 138.47

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Solution

The fourth proportional to 369.51, 554.36 and 138.47 is: 207.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.51 : 554.36 = 138.47 : x
  2. Step 2: Convert to fraction form
    369.51/554.36 = 138.47/x
  3. Step 3: Cross multiply
    369.51x = 554.36 × 138.47
  4. Step 4: Simplify right side
    369.51x = 76,758.77
  5. Step 5: Solve for x
    x = 76,758.77/369.51
  6. Step 6: Final answer
    x = 207.73

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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.