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Finding the Fourth Proportional to 194.90, 268.59 and 159.77

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Solution

The fourth proportional to 194.90, 268.59 and 159.77 is: 220.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.90 : 268.59 = 159.77 : x
  2. Step 2: Convert to fraction form
    194.90/268.59 = 159.77/x
  3. Step 3: Cross multiply
    194.90x = 268.59 × 159.77
  4. Step 4: Simplify right side
    194.90x = 42,911.28
  5. Step 5: Solve for x
    x = 42,911.28/194.90
  6. Step 6: Final answer
    x = 220.18

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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.