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Finding the Fourth Proportional to 369.68, 554.04 and 138.35

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Solution

The fourth proportional to 369.68, 554.04 and 138.35 is: 207.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.68 : 554.04 = 138.35 : x
  2. Step 2: Convert to fraction form
    369.68/554.04 = 138.35/x
  3. Step 3: Cross multiply
    369.68x = 554.04 × 138.35
  4. Step 4: Simplify right side
    369.68x = 76,652.82
  5. Step 5: Solve for x
    x = 76,652.82/369.68
  6. Step 6: Final answer
    x = 207.35

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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.