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Finding the Fourth Proportional to 193.66, 290.64 and 102.39

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Solution

The fourth proportional to 193.66, 290.64 and 102.39 is: 153.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.66 : 290.64 = 102.39 : x
  2. Step 2: Convert to fraction form
    193.66/290.64 = 102.39/x
  3. Step 3: Cross multiply
    193.66x = 290.64 × 102.39
  4. Step 4: Simplify right side
    193.66x = 29,758.63
  5. Step 5: Solve for x
    x = 29,758.63/193.66
  6. Step 6: Final answer
    x = 153.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.