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Finding the Fourth Proportional to 201.47, 278.24 and 155.30

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Solution

The fourth proportional to 201.47, 278.24 and 155.30 is: 214.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.47 : 278.24 = 155.30 : x
  2. Step 2: Convert to fraction form
    201.47/278.24 = 155.30/x
  3. Step 3: Cross multiply
    201.47x = 278.24 × 155.30
  4. Step 4: Simplify right side
    201.47x = 43,208.50
  5. Step 5: Solve for x
    x = 43,208.50/201.47
  6. Step 6: Final answer
    x = 214.47

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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.