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Finding the Fourth Proportional to 192.83, 266.15 and 114.13

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Solution

The fourth proportional to 192.83, 266.15 and 114.13 is: 157.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.83 : 266.15 = 114.13 : x
  2. Step 2: Convert to fraction form
    192.83/266.15 = 114.13/x
  3. Step 3: Cross multiply
    192.83x = 266.15 × 114.13
  4. Step 4: Simplify right side
    192.83x = 30,376.32
  5. Step 5: Solve for x
    x = 30,376.32/192.83
  6. Step 6: Final answer
    x = 157.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.