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Finding the Fourth Proportional to 237.78, 328.32 and 172.44

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Solution

The fourth proportional to 237.78, 328.32 and 172.44 is: 238.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.78 : 328.32 = 172.44 : x
  2. Step 2: Convert to fraction form
    237.78/328.32 = 172.44/x
  3. Step 3: Cross multiply
    237.78x = 328.32 × 172.44
  4. Step 4: Simplify right side
    237.78x = 56,615.50
  5. Step 5: Solve for x
    x = 56,615.50/237.78
  6. Step 6: Final answer
    x = 238.10

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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.