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Finding the Fourth Proportional to 193.40, 290.10 and 65.14

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Solution

The fourth proportional to 193.40, 290.10 and 65.14 is: 97.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.40 : 290.10 = 65.14 : x
  2. Step 2: Convert to fraction form
    193.40/290.10 = 65.14/x
  3. Step 3: Cross multiply
    193.40x = 290.10 × 65.14
  4. Step 4: Simplify right side
    193.40x = 18,897.11
  5. Step 5: Solve for x
    x = 18,897.11/193.40
  6. Step 6: Final answer
    x = 97.71

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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.