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Finding the Fourth Proportional to 191.58, 286.01 and 184.83

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Solution

The fourth proportional to 191.58, 286.01 and 184.83 is: 275.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.58 : 286.01 = 184.83 : x
  2. Step 2: Convert to fraction form
    191.58/286.01 = 184.83/x
  3. Step 3: Cross multiply
    191.58x = 286.01 × 184.83
  4. Step 4: Simplify right side
    191.58x = 52,862.30
  5. Step 5: Solve for x
    x = 52,862.30/191.58
  6. Step 6: Final answer
    x = 275.93

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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.