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Finding the Fourth Proportional to 191.52, 287.23 and 100.17

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Solution

The fourth proportional to 191.52, 287.23 and 100.17 is: 150.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.52 : 287.23 = 100.17 : x
  2. Step 2: Convert to fraction form
    191.52/287.23 = 100.17/x
  3. Step 3: Cross multiply
    191.52x = 287.23 × 100.17
  4. Step 4: Simplify right side
    191.52x = 28,771.83
  5. Step 5: Solve for x
    x = 28,771.83/191.52
  6. Step 6: Final answer
    x = 150.23

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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.