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Finding the Fourth Proportional to 201.66, 302.08 and 172.78

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Solution

The fourth proportional to 201.66, 302.08 and 172.78 is: 258.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.66 : 302.08 = 172.78 : x
  2. Step 2: Convert to fraction form
    201.66/302.08 = 172.78/x
  3. Step 3: Cross multiply
    201.66x = 302.08 × 172.78
  4. Step 4: Simplify right side
    201.66x = 52,193.38
  5. Step 5: Solve for x
    x = 52,193.38/201.66
  6. Step 6: Final answer
    x = 258.82

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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.