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Finding the Fourth Proportional to 193.48, 289.86 and 112.08

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Solution

The fourth proportional to 193.48, 289.86 and 112.08 is: 167.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.48 : 289.86 = 112.08 : x
  2. Step 2: Convert to fraction form
    193.48/289.86 = 112.08/x
  3. Step 3: Cross multiply
    193.48x = 289.86 × 112.08
  4. Step 4: Simplify right side
    193.48x = 32,487.51
  5. Step 5: Solve for x
    x = 32,487.51/193.48
  6. Step 6: Final answer
    x = 167.91

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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.