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Finding the Fourth Proportional to 201.72, 302.40 and 178.80

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Solution

The fourth proportional to 201.72, 302.40 and 178.80 is: 268.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.72 : 302.40 = 178.80 : x
  2. Step 2: Convert to fraction form
    201.72/302.40 = 178.80/x
  3. Step 3: Cross multiply
    201.72x = 302.40 × 178.80
  4. Step 4: Simplify right side
    201.72x = 54,069.12
  5. Step 5: Solve for x
    x = 54,069.12/201.72
  6. Step 6: Final answer
    x = 268.04

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Why These Related Problems?

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