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Finding the Fourth Proportional to 193.35, 266.51 and 131.16

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Solution

The fourth proportional to 193.35, 266.51 and 131.16 is: 180.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.35 : 266.51 = 131.16 : x
  2. Step 2: Convert to fraction form
    193.35/266.51 = 131.16/x
  3. Step 3: Cross multiply
    193.35x = 266.51 × 131.16
  4. Step 4: Simplify right side
    193.35x = 34,953.46
  5. Step 5: Solve for x
    x = 34,953.46/193.35
  6. Step 6: Final answer
    x = 180.78

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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.