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Finding the Fourth Proportional to 193.64, 290.28 and 78.06

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Solution

The fourth proportional to 193.64, 290.28 and 78.06 is: 117.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.64 : 290.28 = 78.06 : x
  2. Step 2: Convert to fraction form
    193.64/290.28 = 78.06/x
  3. Step 3: Cross multiply
    193.64x = 290.28 × 78.06
  4. Step 4: Simplify right side
    193.64x = 22,658.35
  5. Step 5: Solve for x
    x = 22,658.35/193.64
  6. Step 6: Final answer
    x = 117.02

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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.