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Finding the Fourth Proportional to 191.30, 288.07 and 137.57

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Solution

The fourth proportional to 191.30, 288.07 and 137.57 is: 207.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.30 : 288.07 = 137.57 : x
  2. Step 2: Convert to fraction form
    191.30/288.07 = 137.57/x
  3. Step 3: Cross multiply
    191.30x = 288.07 × 137.57
  4. Step 4: Simplify right side
    191.30x = 39,628.01
  5. Step 5: Solve for x
    x = 39,628.01/191.30
  6. Step 6: Final answer
    x = 207.16

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.