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Finding the Fourth Proportional to 628.12, 942.18 and 172.12

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Solution

The fourth proportional to 628.12, 942.18 and 172.12 is: 258.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.12 : 942.18 = 172.12 : x
  2. Step 2: Convert to fraction form
    628.12/942.18 = 172.12/x
  3. Step 3: Cross multiply
    628.12x = 942.18 × 172.12
  4. Step 4: Simplify right side
    628.12x = 162,168.02
  5. Step 5: Solve for x
    x = 162,168.02/628.12
  6. Step 6: Final answer
    x = 258.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.