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Finding the Fourth Proportional to 193.34, 290.01 and 77.76

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Solution

The fourth proportional to 193.34, 290.01 and 77.76 is: 116.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.34 : 290.01 = 77.76 : x
  2. Step 2: Convert to fraction form
    193.34/290.01 = 77.76/x
  3. Step 3: Cross multiply
    193.34x = 290.01 × 77.76
  4. Step 4: Simplify right side
    193.34x = 22,550.81
  5. Step 5: Solve for x
    x = 22,550.81/193.34
  6. Step 6: Final answer
    x = 116.64

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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.