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Finding the Fourth Proportional to 270.63, 406.10 and 184.01

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Solution

The fourth proportional to 270.63, 406.10 and 184.01 is: 276.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.63 : 406.10 = 184.01 : x
  2. Step 2: Convert to fraction form
    270.63/406.10 = 184.01/x
  3. Step 3: Cross multiply
    270.63x = 406.10 × 184.01
  4. Step 4: Simplify right side
    270.63x = 74,726.46
  5. Step 5: Solve for x
    x = 74,726.46/270.63
  6. Step 6: Final answer
    x = 276.12

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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.