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Finding the Fourth Proportional to 172.50, 237.94 and 110.40

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Solution

The fourth proportional to 172.50, 237.94 and 110.40 is: 152.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.50 : 237.94 = 110.40 : x
  2. Step 2: Convert to fraction form
    172.50/237.94 = 110.40/x
  3. Step 3: Cross multiply
    172.50x = 237.94 × 110.40
  4. Step 4: Simplify right side
    172.50x = 26,268.58
  5. Step 5: Solve for x
    x = 26,268.58/172.50
  6. Step 6: Final answer
    x = 152.28

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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.