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Finding the Fourth Proportional to 237.64, 327.80 and 172.16

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Solution

The fourth proportional to 237.64, 327.80 and 172.16 is: 237.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.64 : 327.80 = 172.16 : x
  2. Step 2: Convert to fraction form
    237.64/327.80 = 172.16/x
  3. Step 3: Cross multiply
    237.64x = 327.80 × 172.16
  4. Step 4: Simplify right side
    237.64x = 56,434.05
  5. Step 5: Solve for x
    x = 56,434.05/237.64
  6. Step 6: Final answer
    x = 237.48

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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.