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Finding the Fourth Proportional to 191.30, 286.47 and 100.07

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Solution

The fourth proportional to 191.30, 286.47 and 100.07 is: 149.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.30 : 286.47 = 100.07 : x
  2. Step 2: Convert to fraction form
    191.30/286.47 = 100.07/x
  3. Step 3: Cross multiply
    191.30x = 286.47 × 100.07
  4. Step 4: Simplify right side
    191.30x = 28,666.69
  5. Step 5: Solve for x
    x = 28,666.69/191.30
  6. Step 6: Final answer
    x = 149.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.