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Finding the Fourth Proportional to 191.89, 264.74 and 147.65

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Solution

The fourth proportional to 191.89, 264.74 and 147.65 is: 203.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.89 : 264.74 = 147.65 : x
  2. Step 2: Convert to fraction form
    191.89/264.74 = 147.65/x
  3. Step 3: Cross multiply
    191.89x = 264.74 × 147.65
  4. Step 4: Simplify right side
    191.89x = 39,087.63
  5. Step 5: Solve for x
    x = 39,087.63/191.89
  6. Step 6: Final answer
    x = 203.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.