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Finding the Fourth Proportional to 193.64, 290.40 and 102.32

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Solution

The fourth proportional to 193.64, 290.40 and 102.32 is: 153.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.64 : 290.40 = 102.32 : x
  2. Step 2: Convert to fraction form
    193.64/290.40 = 102.32/x
  3. Step 3: Cross multiply
    193.64x = 290.40 × 102.32
  4. Step 4: Simplify right side
    193.64x = 29,713.73
  5. Step 5: Solve for x
    x = 29,713.73/193.64
  6. Step 6: Final answer
    x = 153.45

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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.