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Finding the Fourth Proportional to 188.24, 280.42 and 184.40

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Solution

The fourth proportional to 188.24, 280.42 and 184.40 is: 274.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.24 : 280.42 = 184.40 : x
  2. Step 2: Convert to fraction form
    188.24/280.42 = 184.40/x
  3. Step 3: Cross multiply
    188.24x = 280.42 × 184.40
  4. Step 4: Simplify right side
    188.24x = 51,709.45
  5. Step 5: Solve for x
    x = 51,709.45/188.24
  6. Step 6: Final answer
    x = 274.70

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.