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Finding the Fourth Proportional to 175.80, 261.46 and 172.15

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Solution

The fourth proportional to 175.80, 261.46 and 172.15 is: 256.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.80 : 261.46 = 172.15 : x
  2. Step 2: Convert to fraction form
    175.80/261.46 = 172.15/x
  3. Step 3: Cross multiply
    175.80x = 261.46 × 172.15
  4. Step 4: Simplify right side
    175.80x = 45,010.34
  5. Step 5: Solve for x
    x = 45,010.34/175.80
  6. Step 6: Final answer
    x = 256.03

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.