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Finding the Fourth Proportional to 219.37, 302.91 and 172.93

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Solution

The fourth proportional to 219.37, 302.91 and 172.93 is: 238.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.37 : 302.91 = 172.93 : x
  2. Step 2: Convert to fraction form
    219.37/302.91 = 172.93/x
  3. Step 3: Cross multiply
    219.37x = 302.91 × 172.93
  4. Step 4: Simplify right side
    219.37x = 52,382.23
  5. Step 5: Solve for x
    x = 52,382.23/219.37
  6. Step 6: Final answer
    x = 238.78

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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.