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Finding the Fourth Proportional to 172.32, 237.80 and 150.40

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Solution

The fourth proportional to 172.32, 237.80 and 150.40 is: 207.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.32 : 237.80 = 150.40 : x
  2. Step 2: Convert to fraction form
    172.32/237.80 = 150.40/x
  3. Step 3: Cross multiply
    172.32x = 237.80 × 150.40
  4. Step 4: Simplify right side
    172.32x = 35,765.12
  5. Step 5: Solve for x
    x = 35,765.12/172.32
  6. Step 6: Final answer
    x = 207.55

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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.