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Finding the Fourth Proportional to 172.81, 259.08 and 138.52

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Solution

The fourth proportional to 172.81, 259.08 and 138.52 is: 207.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.81 : 259.08 = 138.52 : x
  2. Step 2: Convert to fraction form
    172.81/259.08 = 138.52/x
  3. Step 3: Cross multiply
    172.81x = 259.08 × 138.52
  4. Step 4: Simplify right side
    172.81x = 35,887.76
  5. Step 5: Solve for x
    x = 35,887.76/172.81
  6. Step 6: Final answer
    x = 207.67

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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.