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Finding the Fourth Proportional to 191.35, 288.06 and 171.50

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Solution

The fourth proportional to 191.35, 288.06 and 171.50 is: 258.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.35 : 288.06 = 171.50 : x
  2. Step 2: Convert to fraction form
    191.35/288.06 = 171.50/x
  3. Step 3: Cross multiply
    191.35x = 288.06 × 171.50
  4. Step 4: Simplify right side
    191.35x = 49,401.43
  5. Step 5: Solve for x
    x = 49,401.43/191.35
  6. Step 6: Final answer
    x = 258.18

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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.