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Finding the Fourth Proportional to 184.70, 279.14 and 181.51

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Solution

The fourth proportional to 184.70, 279.14 and 181.51 is: 274.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.70 : 279.14 = 181.51 : x
  2. Step 2: Convert to fraction form
    184.70/279.14 = 181.51/x
  3. Step 3: Cross multiply
    184.70x = 279.14 × 181.51
  4. Step 4: Simplify right side
    184.70x = 50,666.70
  5. Step 5: Solve for x
    x = 50,666.70/184.70
  6. Step 6: Final answer
    x = 274.32

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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.