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Finding the Fourth Proportional to 191.05, 288.14 and 184.89

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Solution

The fourth proportional to 191.05, 288.14 and 184.89 is: 278.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.05 : 288.14 = 184.89 : x
  2. Step 2: Convert to fraction form
    191.05/288.14 = 184.89/x
  3. Step 3: Cross multiply
    191.05x = 288.14 × 184.89
  4. Step 4: Simplify right side
    191.05x = 53,274.20
  5. Step 5: Solve for x
    x = 53,274.20/191.05
  6. Step 6: Final answer
    x = 278.86

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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.