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Finding the Fourth Proportional to 184.23, 275.76 and 102.83

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Solution

The fourth proportional to 184.23, 275.76 and 102.83 is: 153.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.23 : 275.76 = 102.83 : x
  2. Step 2: Convert to fraction form
    184.23/275.76 = 102.83/x
  3. Step 3: Cross multiply
    184.23x = 275.76 × 102.83
  4. Step 4: Simplify right side
    184.23x = 28,355.02
  5. Step 5: Solve for x
    x = 28,355.02/184.23
  6. Step 6: Final answer
    x = 153.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.