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Finding the Fourth Proportional to 201.69, 278.64 and 176.99

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Solution

The fourth proportional to 201.69, 278.64 and 176.99 is: 244.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.69 : 278.64 = 176.99 : x
  2. Step 2: Convert to fraction form
    201.69/278.64 = 176.99/x
  3. Step 3: Cross multiply
    201.69x = 278.64 × 176.99
  4. Step 4: Simplify right side
    201.69x = 49,315.10
  5. Step 5: Solve for x
    x = 49,315.10/201.69
  6. Step 6: Final answer
    x = 244.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.