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Finding the Fourth Proportional to 172.56, 260.03 and 156.36

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Solution

The fourth proportional to 172.56, 260.03 and 156.36 is: 235.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.56 : 260.03 = 156.36 : x
  2. Step 2: Convert to fraction form
    172.56/260.03 = 156.36/x
  3. Step 3: Cross multiply
    172.56x = 260.03 × 156.36
  4. Step 4: Simplify right side
    172.56x = 40,656.99
  5. Step 5: Solve for x
    x = 40,656.99/172.56
  6. Step 6: Final answer
    x = 235.62

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.