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Finding the Fourth Proportional to 184.65, 254.64 and 137.88

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Solution

The fourth proportional to 184.65, 254.64 and 137.88 is: 190.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.65 : 254.64 = 137.88 : x
  2. Step 2: Convert to fraction form
    184.65/254.64 = 137.88/x
  3. Step 3: Cross multiply
    184.65x = 254.64 × 137.88
  4. Step 4: Simplify right side
    184.65x = 35,109.76
  5. Step 5: Solve for x
    x = 35,109.76/184.65
  6. Step 6: Final answer
    x = 190.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.