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Finding the Fourth Proportional to 210.44, 315.66 and 138.08

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Solution

The fourth proportional to 210.44, 315.66 and 138.08 is: 207.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.44 : 315.66 = 138.08 : x
  2. Step 2: Convert to fraction form
    210.44/315.66 = 138.08/x
  3. Step 3: Cross multiply
    210.44x = 315.66 × 138.08
  4. Step 4: Simplify right side
    210.44x = 43,586.33
  5. Step 5: Solve for x
    x = 43,586.33/210.44
  6. Step 6: Final answer
    x = 207.12

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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.