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Finding the Fourth Proportional to 208.56, 312.82 and 172.08

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Solution

The fourth proportional to 208.56, 312.82 and 172.08 is: 258.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.56 : 312.82 = 172.08 : x
  2. Step 2: Convert to fraction form
    208.56/312.82 = 172.08/x
  3. Step 3: Cross multiply
    208.56x = 312.82 × 172.08
  4. Step 4: Simplify right side
    208.56x = 53,830.07
  5. Step 5: Solve for x
    x = 53,830.07/208.56
  6. Step 6: Final answer
    x = 258.10

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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.