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Finding the Fourth Proportional to 184.68, 275.16 and 178.56

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Solution

The fourth proportional to 184.68, 275.16 and 178.56 is: 266.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.68 : 275.16 = 178.56 : x
  2. Step 2: Convert to fraction form
    184.68/275.16 = 178.56/x
  3. Step 3: Cross multiply
    184.68x = 275.16 × 178.56
  4. Step 4: Simplify right side
    184.68x = 49,132.57
  5. Step 5: Solve for x
    x = 49,132.57/184.68
  6. Step 6: Final answer
    x = 266.04

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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.