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Finding the Fourth Proportional to 172.48, 258.18 and 146.56

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Solution

The fourth proportional to 172.48, 258.18 and 146.56 is: 219.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.48 : 258.18 = 146.56 : x
  2. Step 2: Convert to fraction form
    172.48/258.18 = 146.56/x
  3. Step 3: Cross multiply
    172.48x = 258.18 × 146.56
  4. Step 4: Simplify right side
    172.48x = 37,838.86
  5. Step 5: Solve for x
    x = 37,838.86/172.48
  6. Step 6: Final answer
    x = 219.38

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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.