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Finding the Fourth Proportional to 193.32, 290.07 and 157.11

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Solution

The fourth proportional to 193.32, 290.07 and 157.11 is: 235.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.32 : 290.07 = 157.11 : x
  2. Step 2: Convert to fraction form
    193.32/290.07 = 157.11/x
  3. Step 3: Cross multiply
    193.32x = 290.07 × 157.11
  4. Step 4: Simplify right side
    193.32x = 45,572.90
  5. Step 5: Solve for x
    x = 45,572.90/193.32
  6. Step 6: Final answer
    x = 235.74

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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.