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Finding the Fourth Proportional to 191.94, 288.06 and 140.58

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Solution

The fourth proportional to 191.94, 288.06 and 140.58 is: 210.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.94 : 288.06 = 140.58 : x
  2. Step 2: Convert to fraction form
    191.94/288.06 = 140.58/x
  3. Step 3: Cross multiply
    191.94x = 288.06 × 140.58
  4. Step 4: Simplify right side
    191.94x = 40,495.47
  5. Step 5: Solve for x
    x = 40,495.47/191.94
  6. Step 6: Final answer
    x = 210.98

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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.