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Finding the Fourth Proportional to 193.35, 288.99 and 162.66

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Solution

The fourth proportional to 193.35, 288.99 and 162.66 is: 243.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.35 : 288.99 = 162.66 : x
  2. Step 2: Convert to fraction form
    193.35/288.99 = 162.66/x
  3. Step 3: Cross multiply
    193.35x = 288.99 × 162.66
  4. Step 4: Simplify right side
    193.35x = 47,007.11
  5. Step 5: Solve for x
    x = 47,007.11/193.35
  6. Step 6: Final answer
    x = 243.12

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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.