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Finding the Fourth Proportional to 177.74, 266.26 and 141.24

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Solution

The fourth proportional to 177.74, 266.26 and 141.24 is: 211.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.74 : 266.26 = 141.24 : x
  2. Step 2: Convert to fraction form
    177.74/266.26 = 141.24/x
  3. Step 3: Cross multiply
    177.74x = 266.26 × 141.24
  4. Step 4: Simplify right side
    177.74x = 37,606.21
  5. Step 5: Solve for x
    x = 37,606.21/177.74
  6. Step 6: Final answer
    x = 211.58

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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.