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Finding the Fourth Proportional to 193.60, 288.41 and 187.93

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Solution

The fourth proportional to 193.60, 288.41 and 187.93 is: 279.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.60 : 288.41 = 187.93 : x
  2. Step 2: Convert to fraction form
    193.60/288.41 = 187.93/x
  3. Step 3: Cross multiply
    193.60x = 288.41 × 187.93
  4. Step 4: Simplify right side
    193.60x = 54,200.89
  5. Step 5: Solve for x
    x = 54,200.89/193.60
  6. Step 6: Final answer
    x = 279.96

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.