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Finding the Fourth Proportional to 184.14, 254.10 and 106.50

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Solution

The fourth proportional to 184.14, 254.10 and 106.50 is: 146.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.14 : 254.10 = 106.50 : x
  2. Step 2: Convert to fraction form
    184.14/254.10 = 106.50/x
  3. Step 3: Cross multiply
    184.14x = 254.10 × 106.50
  4. Step 4: Simplify right side
    184.14x = 27,061.65
  5. Step 5: Solve for x
    x = 27,061.65/184.14
  6. Step 6: Final answer
    x = 146.96

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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.