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Finding the Fourth Proportional to 193.10, 266.43 and 123.14

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Solution

The fourth proportional to 193.10, 266.43 and 123.14 is: 169.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.10 : 266.43 = 123.14 : x
  2. Step 2: Convert to fraction form
    193.10/266.43 = 123.14/x
  3. Step 3: Cross multiply
    193.10x = 266.43 × 123.14
  4. Step 4: Simplify right side
    193.10x = 32,808.19
  5. Step 5: Solve for x
    x = 32,808.19/193.10
  6. Step 6: Final answer
    x = 169.90

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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.