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Finding the Fourth Proportional to 208.08, 310.68 and 172.08

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Solution

The fourth proportional to 208.08, 310.68 and 172.08 is: 256.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.08 : 310.68 = 172.08 : x
  2. Step 2: Convert to fraction form
    208.08/310.68 = 172.08/x
  3. Step 3: Cross multiply
    208.08x = 310.68 × 172.08
  4. Step 4: Simplify right side
    208.08x = 53,461.81
  5. Step 5: Solve for x
    x = 53,461.81/208.08
  6. Step 6: Final answer
    x = 256.93

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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.