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Finding the Fourth Proportional to 184.73, 275.63 and 156.06

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Solution

The fourth proportional to 184.73, 275.63 and 156.06 is: 232.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.73 : 275.63 = 156.06 : x
  2. Step 2: Convert to fraction form
    184.73/275.63 = 156.06/x
  3. Step 3: Cross multiply
    184.73x = 275.63 × 156.06
  4. Step 4: Simplify right side
    184.73x = 43,014.04
  5. Step 5: Solve for x
    x = 43,014.04/184.73
  6. Step 6: Final answer
    x = 232.85

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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.