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Finding the Fourth Proportional to 175.12, 261.09 and 172.40

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Solution

The fourth proportional to 175.12, 261.09 and 172.40 is: 257.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.12 : 261.09 = 172.40 : x
  2. Step 2: Convert to fraction form
    175.12/261.09 = 172.40/x
  3. Step 3: Cross multiply
    175.12x = 261.09 × 172.40
  4. Step 4: Simplify right side
    175.12x = 45,011.92
  5. Step 5: Solve for x
    x = 45,011.92/175.12
  6. Step 6: Final answer
    x = 257.03

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