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Finding the Fourth Proportional to 229.92, 317.80 and 172.24

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Solution

The fourth proportional to 229.92, 317.80 and 172.24 is: 238.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.92 : 317.80 = 172.24 : x
  2. Step 2: Convert to fraction form
    229.92/317.80 = 172.24/x
  3. Step 3: Cross multiply
    229.92x = 317.80 × 172.24
  4. Step 4: Simplify right side
    229.92x = 54,737.87
  5. Step 5: Solve for x
    x = 54,737.87/229.92
  6. Step 6: Final answer
    x = 238.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.