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Finding the Fourth Proportional to 184.95, 279.53 and 181.76

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Solution

The fourth proportional to 184.95, 279.53 and 181.76 is: 274.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.95 : 279.53 = 181.76 : x
  2. Step 2: Convert to fraction form
    184.95/279.53 = 181.76/x
  3. Step 3: Cross multiply
    184.95x = 279.53 × 181.76
  4. Step 4: Simplify right side
    184.95x = 50,806.46
  5. Step 5: Solve for x
    x = 50,806.46/184.95
  6. Step 6: Final answer
    x = 274.70

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.