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Finding the Fourth Proportional to 184.70, 254.86 and 111

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Solution

The fourth proportional to 184.70, 254.86 and 111 is: 153.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.70 : 254.86 = 111 : x
  2. Step 2: Convert to fraction form
    184.70/254.86 = 111/x
  3. Step 3: Cross multiply
    184.70x = 254.86 × 111
  4. Step 4: Simplify right side
    184.70x = 28,289.46
  5. Step 5: Solve for x
    x = 28,289.46/184.70
  6. Step 6: Final answer
    x = 153.16

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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.