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Finding the Fourth Proportional to 193.64, 290.55 and 148.28

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Solution

The fourth proportional to 193.64, 290.55 and 148.28 is: 222.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.64 : 290.55 = 148.28 : x
  2. Step 2: Convert to fraction form
    193.64/290.55 = 148.28/x
  3. Step 3: Cross multiply
    193.64x = 290.55 × 148.28
  4. Step 4: Simplify right side
    193.64x = 43,081.30
  5. Step 5: Solve for x
    x = 43,081.30/193.64
  6. Step 6: Final answer
    x = 222.49

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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.