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Finding the Fourth Proportional to 177.56, 266.34 and 123.44

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Solution

The fourth proportional to 177.56, 266.34 and 123.44 is: 185.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.56 : 266.34 = 123.44 : x
  2. Step 2: Convert to fraction form
    177.56/266.34 = 123.44/x
  3. Step 3: Cross multiply
    177.56x = 266.34 × 123.44
  4. Step 4: Simplify right side
    177.56x = 32,877.01
  5. Step 5: Solve for x
    x = 32,877.01/177.56
  6. Step 6: Final answer
    x = 185.16

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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.