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Finding the Fourth Proportional to 188.40, 280.77 and 184.29

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Solution

The fourth proportional to 188.40, 280.77 and 184.29 is: 274.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.40 : 280.77 = 184.29 : x
  2. Step 2: Convert to fraction form
    188.40/280.77 = 184.29/x
  3. Step 3: Cross multiply
    188.40x = 280.77 × 184.29
  4. Step 4: Simplify right side
    188.40x = 51,743.10
  5. Step 5: Solve for x
    x = 51,743.10/188.40
  6. Step 6: Final answer
    x = 274.64

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Why These Related Problems?

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